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1131464040 = 233573143451
BaseRepresentation
bin100001101110000…
…1100010101101000
32220212001022212120
41003130030111220
54304123322130
6304135111240
740016166660
oct10334142550
92825038776
101131464040
11530755753
12276b12520
13150549165
14aa3ad1a0
15694ed910
hex4370c568

1131464040 has 128 divisors (see below), whose sum is σ = 4004536320. Its totient is φ = 250272000.

The previous prime is 1131464027. The next prime is 1131464057. The reversal of 1131464040 is 404641311.

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 1131464040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4315 + ... + 47765.

It is an arithmetic number, because the mean of its divisors is an integer number (31285440).

Almost surely, 21131464040 is an apocalyptic number.

1131464040 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 1131464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002268160).

1131464040 is an abundant number, since it is smaller than the sum of its proper divisors (2873072280).

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

1131464040 is a wasteful number, since it uses less digits than its factorization.

1131464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43503 (or 43499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1131464040 is about 33637.2418607709. The cubic root of 1131464040 is about 1042.0300707377.

The spelling of 1131464040 in words is "one billion, one hundred thirty-one million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 43451 86902 130353 173804 217255 260706 304157 347608 434510 521412 608314 651765 869020 912471 1042824 1216628 1303530 1346981 1520785 1738040 1824942 2433256 2607060 2693962 3041570 3649884 4040943 4562355 5214120 5387924 6083140 6734905 7299768 8081886 9124710 9428867 10775848 12166280 13469810 16163772 18249420 18857734 20204715 26939620 28286601 32327544 36498840 37715468 40409430 47144335 53879240 56573202 75430936 80818860 94288670 113146404 141433005 161637720 188577340 226292808 282866010 377154680 565732020 1131464040