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129785344 = 2913173137
BaseRepresentation
bin1111011110001…
…01111000000000
3100001012210000121
413233011320000
5231211112334
620513430024
73134104633
oct757057000
9301183017
10129785344
1167295717
123756b314
1320b71b80
1413345c1a
15b5d9db4
hex7bc5e00

129785344 has 160 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 53084160.

The previous prime is 129785317. The next prime is 129785363. The reversal of 129785344 is 443587921.

It is a self number, because there is not a number n which added to its sum of digits gives 129785344.

It is a congruent number.

It is an unprimeable number.

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, 3507694 + ... + 3507730.

Almost surely, 2129785344 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 129785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

129785344 is an abundant number, since it is smaller than the sum of its proper divisors (183694592).

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

129785344 is a wasteful number, since it uses less digits than its factorization.

129785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 129785344 is about 11392.3370736649. The cubic root of 129785344 is about 506.3007268379.

The spelling of 129785344 in words is "one hundred twenty-nine million, seven hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 37 52 62 64 68 74 104 124 128 136 148 208 221 248 256 272 296 403 416 442 481 496 512 527 544 592 629 806 832 884 962 992 1054 1088 1147 1184 1258 1612 1664 1768 1924 1984 2108 2176 2294 2368 2516 3224 3328 3536 3848 3968 4216 4352 4588 4736 5032 6448 6656 6851 7072 7696 7936 8177 8432 8704 9176 9472 10064 12896 13702 14144 14911 15392 15872 16354 16864 18352 18944 19499 20128 25792 27404 28288 29822 30784 32708 33728 36704 38998 40256 51584 54808 56576 59644 61568 65416 67456 73408 77996 80512 103168 109616 113152 119288 123136 130832 134912 146816 155992 161024 206336 219232 238576 246272 253487 261664 269824 293632 311984 322048 438464 477152 506974 523328 587264 623968 876928 954304 1013948 1046656 1247936 1753856 1908608 2027896 2093312 2495872 3507712 3817216 4055792 4186624 4991744 7634432 8111584 9983488 16223168 32446336 64892672 129785344