Search a number
-
+
1121136640 = 2125134211
BaseRepresentation
bin100001011010011…
…0011000000000000
32220010121122100021
41002310303000000
54244002333030
6303125503224
736532334641
oct10264630000
92803548307
101121136640
11525941608
12273571b14
1314b371580
14a8c816c8
156865d97a
hex42d33000

1121136640 has 104 divisors (see below), whose sum is σ = 2898041328. Its totient is φ = 413859840.

The previous prime is 1121136589. The next prime is 1121136641. The reversal of 1121136640 is 466311211.

It is a tau number, because it is divible by the number of its divisors (104).

It is not an unprimeable number, because it can be changed into a prime (1121136641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264135 + ... + 268345.

It is an arithmetic number, because the mean of its divisors is an integer number (27865782).

Almost surely, 21121136640 is an apocalyptic number.

1121136640 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 1121136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449020664).

1121136640 is an abundant number, since it is smaller than the sum of its proper divisors (1776904688).

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

1121136640 is an equidigital number, since it uses as much as digits as its factorization.

1121136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1121136640 is about 33483.3785631020. The cubic root of 1121136640 is about 1038.8500109095.

Adding to 1121136640 its reverse (466311211), we get a palindrome (1587447851).

The spelling of 1121136640 in words is "one billion, one hundred twenty-one million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 4211 5120 6656 8320 8422 10240 13312 16640 16844 20480 21055 26624 33280 33688 42110 53248 54743 66560 67376 84220 109486 133120 134752 168440 218972 266240 269504 273715 336880 437944 539008 547430 673760 875888 1078016 1094860 1347520 1751776 2156032 2189720 2695040 3503552 4312064 4379440 5390080 7007104 8624128 8758880 10780160 14014208 17248256 17517760 21560320 28028416 35035520 43120640 56056832 70071040 86241280 112113664 140142080 224227328 280284160 560568320 1121136640