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129442656 = 2537712713
BaseRepresentation
bin1111011011100…
…10001101100000
3100000120100221110
413231302031200
5231114131111
620502223320
73131146560
oct755621540
9300510843
10129442656
1167081202
1237424b40
1320a81bb5
1413296da0
15b56d5a6
hex7b72360

129442656 has 96 divisors (see below), whose sum is σ = 393942528. Its totient is φ = 36449280.

The previous prime is 129442609. The next prime is 129442657. The reversal of 129442656 is 656244921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129442657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46356 + ... + 49068.

It is an arithmetic number, because the mean of its divisors is an integer number (4103568).

Almost surely, 2129442656 is an apocalyptic number.

129442656 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 129442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196971264).

129442656 is an abundant number, since it is smaller than the sum of its proper divisors (264499872).

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

129442656 is a wasteful number, since it uses less digits than its factorization.

129442656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2796 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 129442656 is about 11377.2868470475. The cubic root of 129442656 is about 505.8547182987.

The spelling of 129442656 in words is "one hundred twenty-nine million, four hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2713 2982 3408 3976 5426 5964 6816 7952 8139 10852 11928 15904 16278 18991 21704 23856 32556 37982 43408 47712 56973 65112 75964 86816 113946 130224 151928 192623 227892 260448 303856 385246 455784 577869 607712 770492 911568 1155738 1348361 1540984 1823136 2311476 2696722 3081968 4045083 4622952 5393444 6163936 8090166 9245904 10786888 16180332 18491808 21573776 32360664 43147552 64721328 129442656