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1157102136 = 233243973853
BaseRepresentation
bin100010011110111…
…1111101000111000
32222122021212201200
41010331333220320
54332204232021
6310452414200
740450130421
oct10475775070
92878255650
101157102136
11544176a63
12283617360
13155954928
14ad964648
156b8b5126
hex44f7fa38

1157102136 has 96 divisors (see below), whose sum is σ = 3240597360. Its totient is φ = 372750336.

The previous prime is 1157102131. The next prime is 1157102143. The reversal of 1157102136 is 6312017511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157102131) 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, 298386 + ... + 302238.

Almost surely, 21157102136 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 1157102136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620298680).

1157102136 is an abundant number, since it is smaller than the sum of its proper divisors (2083495224).

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

1157102136 is a wasteful number, since it uses less digits than its factorization.

1157102136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1157102136 is about 34016.2040210250. The cubic root of 1157102136 is about 1049.8418918397.

Adding to 1157102136 its reverse (6312017511), we get a palindrome (7469119647).

The spelling of 1157102136 in words is "one billion, one hundred fifty-seven million, one hundred two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 97 129 172 194 258 291 344 387 388 516 582 774 776 873 1032 1164 1548 1746 2328 3096 3492 3853 4171 6984 7706 8342 11559 12513 15412 16684 23118 25026 30824 33368 34677 37539 46236 50052 69354 75078 92472 100104 138708 150156 165679 277416 300312 331358 373741 497037 662716 747482 994074 1121223 1325432 1491111 1494964 1988148 2242446 2982222 2989928 3363669 3976296 4484892 5964444 6727338 8969784 11928888 13454676 16070863 26909352 32141726 48212589 64283452 96425178 128566904 144637767 192850356 289275534 385700712 578551068 1157102136