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1140959016 = 23321031371123
BaseRepresentation
bin100010000000001…
…1010011100101000
32221111220201112100
41010000122130220
54314041142031
6305114413400
740162664061
oct10400323450
92844821470
101140959016
1153605043a
1227a131260
131524c1ba2
14ab761568
156a276de6
hex4401a728

1140959016 has 96 divisors (see below), whose sum is σ = 3145671360. Its totient is φ = 373545216.

The previous prime is 1140959011. The next prime is 1140959059. The reversal of 1140959016 is 6109590411.

1140959016 is a `hidden beast` number, since 11 + 40 + 9 + 590 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1140959011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015431 + ... + 1016553.

It is an arithmetic number, because the mean of its divisors is an integer number (32767410).

Almost surely, 21140959016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140959016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572835680).

1140959016 is an abundant number, since it is smaller than the sum of its proper divisors (2004712344).

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

1140959016 is a wasteful number, since it uses less digits than its factorization.

1140959016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1140959016 is about 33778.0848480194. The cubic root of 1140959016 is about 1044.9367775370.

The spelling of 1140959016 in words is "one billion, one hundred forty million, nine hundred fifty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 137 206 274 309 411 412 548 618 822 824 927 1096 1123 1233 1236 1644 1854 2246 2466 2472 3288 3369 3708 4492 4932 6738 7416 8984 9864 10107 13476 14111 20214 26952 28222 40428 42333 56444 80856 84666 112888 115669 126999 153851 169332 231338 253998 307702 338664 347007 461553 462676 507996 615404 694014 923106 925352 1015992 1041021 1230808 1384659 1388028 1846212 2082042 2769318 2776056 3692424 4164084 5538636 8328168 11077272 15846653 31693306 47539959 63386612 95079918 126773224 142619877 190159836 285239754 380319672 570479508 1140959016