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129994172 = 227112173761
BaseRepresentation
bin1111011111110…
…00110110111100
3100001121101110222
413233320312330
5231234303142
620522120512
73135634520
oct757706674
9301541428
10129994172
1167418600
1237650138
1320c15c39
141339bd80
15b62bbd2
hex7bf8dbc

129994172 has 144 divisors (see below), whose sum is σ = 315854784. Its totient is φ = 45619200.

The previous prime is 129994157. The next prime is 129994187. The reversal of 129994172 is 271499921.

It is an interprime number because it is at equal distance from previous prime (129994157) and next prime (129994187).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131022 + ... + 2131082.

It is an arithmetic number, because the mean of its divisors is an integer number (2193436).

Almost surely, 2129994172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129994172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157927392).

129994172 is an abundant number, since it is smaller than the sum of its proper divisors (185860612).

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

129994172 is a wasteful number, since it uses less digits than its factorization.

129994172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its digits is 81648, while the sum is 44.

The square root of 129994172 is about 11401.4986734201. The cubic root of 129994172 is about 506.5721316777.

It can be divided in two parts, 12999 and 4172, that added together give a palindrome (17171).

The spelling of 129994172 in words is "one hundred twenty-nine million, nine hundred ninety-four thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 37 44 61 68 74 77 119 121 122 148 154 187 238 242 244 259 308 374 407 427 476 484 518 629 671 748 814 847 854 1036 1037 1258 1309 1342 1628 1694 1708 2057 2074 2257 2516 2618 2684 2849 3388 4114 4148 4403 4477 4514 4697 5236 5698 6919 7259 7381 8228 8806 8954 9028 9394 11396 11407 13838 14399 14518 14762 15799 17612 17908 18788 22814 24827 27676 28798 29036 29524 31339 31598 38369 45628 48433 49654 51667 57596 62678 63196 76109 76738 79849 96866 99308 103334 125356 125477 152218 153476 159698 173789 193732 206668 250954 268583 273097 304436 319396 347578 422059 501908 532763 537166 546194 695156 844118 878339 1065526 1074332 1092388 1688236 1756678 1911679 2131052 2954413 3513356 3823358 4642649 5908826 7646716 9285298 11817652 18570596 32498543 64997086 129994172