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712025964 = 2238132087
BaseRepresentation
bin101010011100001…
…010011101101100
31211121210200000000
4222130022131230
52424234312324
6154353104300
723434056306
oct5234123554
91747720000
10712025964
11335a13711
1217a558090
13b4690150
146a7c8976
154279a9c9
hex2a70a76c

712025964 has 108 divisors (see below), whose sum is σ = 2013704784. Its totient is φ = 218979936.

The previous prime is 712025957. The next prime is 712025987. The reversal of 712025964 is 469520217.

712025964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340129 + ... + 342215.

Almost surely, 2712025964 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 712025964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006852392).

712025964 is an abundant number, since it is smaller than the sum of its proper divisors (1301678820).

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

712025964 is a wasteful number, since it uses less digits than its factorization.

712025964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 712025964 is about 26683.8146448367. The cubic root of 712025964 is about 892.9598731649.

The spelling of 712025964 in words is "seven hundred twelve million, twenty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2087 2106 2187 2916 3159 4174 4212 4374 6261 6318 6561 8348 8748 9477 12522 12636 13122 18783 18954 25044 26244 27131 28431 37566 37908 54262 56349 56862 75132 81393 85293 108524 112698 113724 162786 169047 170586 225396 244179 325572 338094 341172 488358 507141 676188 732537 976716 1014282 1465074 1521423 2028564 2197611 2930148 3042846 4395222 4564269 6085692 6592833 8790444 9128538 13185666 13692807 18257076 19778499 26371332 27385614 39556998 54771228 59335497 79113996 118670994 178006491 237341988 356012982 712025964