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129597930 = 232571118701
BaseRepresentation
bin1111011100110…
…00000111101010
3100000212020221100
413232120013222
5231134113210
620505422230
73132364350
oct756300752
9300766840
10129597930
1167177930
123749a976
1320b07787
14132d77d0
15b59e5c0
hex7b981ea

129597930 has 96 divisors (see below), whose sum is σ = 420121728. Its totient is φ = 26928000.

The previous prime is 129597929. The next prime is 129597931. The reversal of 129597930 is 39795921.

It is a happy number.

129597930 is a `hidden beast` number, since 1 + 29 + 597 + 9 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (129597929) and next prime (129597931).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (129597931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (4376268).

Almost surely, 2129597930 is an apocalyptic number.

129597930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129597930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210060864).

129597930 is an abundant number, since it is smaller than the sum of its proper divisors (290523798).

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

129597930 is a wasteful number, since it uses less digits than its factorization.

129597930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18732 (or 18729 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 129597930 is about 11384.1086607604. The cubic root of 129597930 is about 506.0569048679.

It can be divided in two parts, 1295 and 97930, that added together give a square (99225 = 3152).

The spelling of 129597930 in words is "one hundred twenty-nine million, five hundred ninety-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 18701 37402 56103 93505 112206 130907 168309 187010 205711 261814 280515 336618 392721 411422 561030 617133 654535 785442 841545 1028555 1178163 1234266 1309070 1439977 1683090 1851399 1963605 2057110 2356326 2879954 3085665 3702798 3927210 4319931 5890815 6171330 7199885 8639862 9256995 11781630 12959793 14399770 18513990 21599655 25919586 43199310 64798965 129597930