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1121126640 = 243537251503
BaseRepresentation
bin100001011010011…
…0000100011110000
32220010121010121220
41002310300203300
54244002023030
6303125345040
736532263534
oct10264604360
92803533556
101121126640
11525935047
12273568180
1314b369b5a
14a8c7bbc4
156865aa10
hex42d308f0

1121126640 has 160 divisors (see below), whose sum is σ = 3590770176. Its totient is φ = 289152000.

The previous prime is 1121126639. The next prime is 1121126641. The reversal of 1121126640 is 466211211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121126639) and next prime (1121126641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1121126640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121126641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228629 + ... + 2229131.

Almost surely, 21121126640 is an apocalyptic number.

1121126640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

1121126640 is an abundant number, since it is smaller than the sum of its proper divisors (2469643536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121126640 is a wasteful number, since it uses less digits than its factorization.

1121126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1121126640 is about 33483.2292349469. The cubic root of 1121126640 is about 1038.8469222194.

Adding to 1121126640 its reverse (466211211), we get a palindrome (1587337851).

The spelling of 1121126640 in words is "one billion, one hundred twenty-one million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 251 296 370 444 502 503 555 592 740 753 888 1004 1006 1110 1255 1480 1506 1509 1776 2008 2012 2220 2510 2515 2960 3012 3018 3765 4016 4024 4440 5020 5030 6024 6036 7530 7545 8048 8880 9287 10040 10060 12048 12072 15060 15090 18574 18611 20080 20120 24144 27861 30120 30180 37148 37222 40240 46435 55722 55833 60240 60360 74296 74444 92870 93055 111444 111666 120720 126253 139305 148592 148888 185740 186110 222888 223332 252506 278610 279165 297776 371480 372220 378759 445776 446664 505012 557220 558330 631265 742960 744440 757518 893328 1010024 1114440 1116660 1262530 1488880 1515036 1893795 2020048 2228880 2233320 2525060 3030072 3787590 4466640 4671361 5050120 6060144 7575180 9342722 10100240 14014083 15150360 18685444 23356805 28028166 30300720 37370888 46713610 56056332 70070415 74741776 93427220 112112664 140140830 186854440 224225328 280281660 373708880 560563320 1121126640