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129123696 = 243131910891
BaseRepresentation
bin1111011001001…
…00010101110000
322222222011102010
413230210111300
5231023424241
620451322520
73125350632
oct754442560
9288864363
10129123696
11669835a9
12372b0440
132099c970
1413212a52
15b508d16
hex7b24570

129123696 has 80 divisors (see below), whose sum is σ = 378170240. Its totient is φ = 37635840.

The previous prime is 129123661. The next prime is 129123713. The reversal of 129123696 is 696321921.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 6411 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (4727128).

Almost surely, 2129123696 is an apocalyptic number.

129123696 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 129123696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189085120).

129123696 is an abundant number, since it is smaller than the sum of its proper divisors (249046544).

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

129123696 is a wasteful number, since it uses less digits than its factorization.

129123696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934 (or 10928 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 129123696 is about 11363.2607996121. The cubic root of 129123696 is about 505.4388838971.

The spelling of 129123696 in words is "one hundred twenty-nine million, one hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 10891 11856 21782 32673 43564 65346 87128 130692 141583 174256 206929 261384 283166 413858 424749 522768 566332 620787 827716 849498 1132664 1241574 1655432 1698996 2265328 2483148 2690077 3310864 3397992 4966296 5380154 6795984 8070231 9932592 10760308 16140462 21520616 32280924 43041232 64561848 129123696