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1150331136 = 28319312543
BaseRepresentation
bin100010010010000…
…1010100100000000
32222011112212122220
41010210022210000
54323441044021
6310051331040
740335440043
oct10444124400
92864485586
101150331136
11540371899
122812b0a80
13154423a16
14acac0c5a
156aec8cc6
hex4490a900

1150331136 has 144 divisors (see below), whose sum is σ = 3327959040. Its totient is φ = 351406080.

The previous prime is 1150331123. The next prime is 1150331159. The reversal of 1150331136 is 6311330511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451081 + ... + 453623.

Almost surely, 21150331136 is an apocalyptic number.

1150331136 is a gapful number since it is divisible by the number (16) 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 1150331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663979520).

1150331136 is an abundant number, since it is smaller than the sum of its proper divisors (2177627904).

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

1150331136 is a wasteful number, since it uses less digits than its factorization.

1150331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1150331136 is about 33916.5318981761. The cubic root of 1150331136 is about 1047.7901022831.

Adding to 1150331136 its reverse (6311330511), we get a palindrome (7461661647).

The spelling of 1150331136 in words is "one billion, one hundred fifty million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 589 608 744 768 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2543 2976 3534 3648 3968 4712 4864 5086 5952 7068 7296 7629 7936 9424 10172 11904 14136 14592 15258 18848 20344 23808 28272 30516 37696 40688 48317 56544 61032 75392 78833 81376 96634 113088 122064 144951 150784 157666 162752 193268 226176 236499 244128 289902 315332 325504 386536 452352 472998 488256 579804 630664 651008 773072 945996 976512 1159608 1261328 1497827 1546144 1891992 1953024 2319216 2522656 2995654 3092288 3783984 4493481 4638432 5045312 5991308 6184576 7567968 8986962 9276864 10090624 11982616 12369152 15135936 17973924 18553728 20181248 23965232 30271872 35947848 37107456 47930464 60543744 71895696 95860928 143791392 191721856 287582784 383443712 575165568 1150331136