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1159231152 = 2432943107181
BaseRepresentation
bin100010100011000…
…0111011010110000
32222210022001012010
41011012013122300
54333230344102
6311010202520
740504205442
oct10506073260
92883261163
101159231152
115453a0582
12284283440
1315621b9c1
14add5a492
156bb85d6c
hex451876b0

1159231152 has 160 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 359009280.

The previous prime is 1159231133. The next prime is 1159231159. The reversal of 1159231152 is 2511329511.

It is not an unprimeable number, because it can be changed into a prime (1159231159) by changing a digit.

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, 6404502 + ... + 6404682.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 21159231152 is an apocalyptic number.

1159231152 is a gapful number since it is divisible by the number (12) 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 1159231152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

1159231152 is an abundant number, since it is smaller than the sum of its proper divisors (2058062928).

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

1159231152 is a wasteful number, since it uses less digits than its factorization.

1159231152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its digits is 2700, while the sum is 30.

The square root of 1159231152 is about 34047.4837836807. The cubic root of 1159231152 is about 1050.4853846564.

The spelling of 1159231152 in words is "one billion, one hundred fifty-nine million, two hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 107 116 129 172 174 181 214 232 258 321 344 348 362 428 464 516 543 642 688 696 724 856 1032 1086 1247 1284 1392 1448 1712 2064 2172 2494 2568 2896 3103 3741 4344 4601 4988 5136 5249 6206 7482 7783 8688 9202 9309 9976 10498 12412 13803 14964 15566 15747 18404 18618 19367 19952 20996 23349 24824 27606 29928 31132 31494 36808 37236 38734 41992 46698 49648 55212 58101 59856 62264 62988 73616 74472 77468 83984 93396 110424 116202 124528 125976 133429 148944 154936 186792 220848 225707 232404 251952 266858 309872 373584 400287 451414 464808 533716 561643 677121 800574 832781 902828 929616 1067432 1123286 1354242 1601148 1665562 1684929 1805656 2134864 2246572 2498343 2708484 3202296 3331124 3369858 3611312 4493144 4996686 5416968 6404592 6662248 6739716 8986288 9993372 10833936 13324496 13479432 19986744 24150649 26958864 39973488 48301298 72451947 96602596 144903894 193205192 289807788 386410384 579615576 1159231152