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129231424 = 2674292
BaseRepresentation
bin1111011001111…
…10101001000000
3100000011122012001
413230332221000
5231040401144
620453513344
73126310000
oct754765100
9300148161
10129231424
1166a47533
1237342854
1320a099ca
1413240000
15b52abd4
hex7b3ea40

129231424 has 105 divisors (see below), whose sum is σ = 309838217. Its totient is φ = 53475072.

The previous prime is 129231413. The next prime is 129231461. The reversal of 129231424 is 424132921.

The square root of 129231424 is 11368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 61465600 = 8232^2 + 7840^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129231392 and 129231401.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4456242 + ... + 4456270.

Almost surely, 2129231424 is an apocalyptic number.

129231424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129231424 is the 11368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129231424

129231424 is an abundant number, since it is smaller than the sum of its proper divisors (180606793).

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

129231424 is an frugal number, since it uses more digits than its factorization.

129231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The cubic root of 129231424 is about 505.5794075093.

The spelling of 129231424 in words is "one hundred twenty-nine million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 343 392 406 448 464 686 784 812 841 928 1372 1421 1568 1624 1682 1856 2401 2744 2842 3136 3248 3364 4802 5488 5684 5887 6496 6728 9604 9947 10976 11368 11774 12992 13456 19208 19894 21952 22736 23548 26912 38416 39788 41209 45472 47096 53824 69629 76832 79576 82418 90944 94192 139258 153664 159152 164836 188384 278516 288463 318304 329672 376768 557032 576926 636608 659344 1114064 1153852 1318688 2019241 2228128 2307704 2637376 4038482 4456256 4615408 8076964 9230816 16153928 18461632 32307856 64615712 129231424