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129711296 = 26111314173
BaseRepresentation
bin1111011101100…
…11110011000000
3100001002000110002
413232303303000
5231201230141
620512055132
73133346021
oct756636300
9301060402
10129711296
1167245020
12375344a8
1320b47260
1413326c48
15b5c2e9b
hex7bb3cc0

129711296 has 56 divisors (see below), whose sum is σ = 302416464. Its totient is φ = 54420480.

The previous prime is 129711289. The next prime is 129711313. The reversal of 129711296 is 692117921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2066 + ... + 16238.

It is an arithmetic number, because the mean of its divisors is an integer number (5400294).

Almost surely, 2129711296 is an apocalyptic number.

129711296 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 129711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151208232).

129711296 is an abundant number, since it is smaller than the sum of its proper divisors (172705168).

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

129711296 is a wasteful number, since it uses less digits than its factorization.

129711296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14209 (or 14199 counting only the distinct ones).

The product of its digits is 13608, while the sum is 38.

The square root of 129711296 is about 11389.0867061411. The cubic root of 129711296 is about 506.2044198967.

The spelling of 129711296 in words is "one hundred twenty-nine million, seven hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 14173 28346 56692 113384 155903 184249 226768 311806 368498 453536 623612 736996 907072 1247224 1473992 2026739 2494448 2947984 4053478 4988896 5895968 8106956 9977792 11791936 16213912 32427824 64855648 129711296