[go: up one dir, main page]

Search a number
-
+
129062472 = 23372112907
BaseRepresentation
bin1111011000101…
…01011001001000
322222212001102120
413230111121020
5231014444342
620450131240
73125004300
oct754253110
9288761376
10129062472
1166941600
1237280b20
132097ab36
14131d8600
15b4e5aec
hex7b15648

129062472 has 144 divisors (see below), whose sum is σ = 413012880. Its totient is φ = 33485760.

The previous prime is 129062449. The next prime is 129062509. The reversal of 129062472 is 274260921.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 35 ways as a sum of consecutive naturals, for example, 141843 + ... + 142749.

It is an arithmetic number, because the mean of its divisors is an integer number (2868145).

Almost surely, 2129062472 is an apocalyptic number.

129062472 is a gapful number since it is divisible by the number (12) 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 129062472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206506440).

129062472 is an abundant number, since it is smaller than the sum of its proper divisors (283950408).

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

129062472 is a wasteful number, since it uses less digits than its factorization.

129062472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 129062472 is about 11360.5665351689. The cubic root of 129062472 is about 505.3589866530.

The spelling of 129062472 in words is "one hundred twenty-nine million, sixty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 907 924 968 1078 1176 1452 1617 1694 1814 1848 2156 2541 2721 2904 3234 3388 3628 4312 5082 5442 5929 6349 6468 6776 7256 9977 10164 10884 11858 12698 12936 17787 19047 19954 20328 21768 23716 25396 29931 35574 38094 39908 44443 47432 50792 59862 69839 71148 76188 79816 88886 109747 119724 133329 139678 142296 152376 177772 209517 219494 239448 266658 279356 329241 355544 419034 438988 488873 533316 558712 658482 768229 838068 877976 977746 1066632 1316964 1466619 1536458 1676136 1955492 2304687 2633928 2933238 3072916 3910984 4609374 5377603 5866476 6145832 9218748 10755206 11732952 16132809 18437496 21510412 32265618 43020824 64531236 129062472