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129155936 = 25713172609
BaseRepresentation
bin1111011001011…
…00001101100000
3100000000210122012
413230230031200
5231030442221
620452132052
73125543630
oct754541540
9300023565
10129155936
11669a5848
1237307028
13209b1540
14132206c0
15b51365b
hex7b2c360

129155936 has 96 divisors (see below), whose sum is σ = 331490880. Its totient is φ = 48070656.

The previous prime is 129155933. The next prime is 129155941. The reversal of 129155936 is 639551921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 129155893 and 129155902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129155933) 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 15 ways as a sum of consecutive naturals, for example, 48200 + ... + 50808.

It is an arithmetic number, because the mean of its divisors is an integer number (3453030).

Almost surely, 2129155936 is an apocalyptic number.

129155936 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 129155936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165745440).

129155936 is an abundant number, since it is smaller than the sum of its proper divisors (202334944).

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

129155936 is a wasteful number, since it uses less digits than its factorization.

129155936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2648 counting only the distinct ones).

The product of its digits is 72900, while the sum is 41.

The square root of 129155936 is about 11364.6793179570. The cubic root of 129155936 is about 505.4809469061.

The spelling of 129155936 in words is "one hundred twenty-nine million, one hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2609 2912 3094 3536 3808 5218 6188 7072 10436 12376 18263 20872 24752 33917 36526 41744 44353 49504 67834 73052 83488 88706 135668 146104 177412 237419 271336 292208 310471 354824 474838 542672 576589 584416 620942 709648 949676 1085344 1153178 1241884 1419296 1899352 2306356 2483768 3798704 4036123 4612712 4967536 7597408 8072246 9225424 9935072 16144492 18450848 32288984 64577968 129155936