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712971090 = 2325132921013
BaseRepresentation
bin101010011111110…
…001001101010010
31211200120200110200
4222133301031102
52430010033330
6154425240030
723445103626
oct5237611522
91750520420
10712971090
113364a9807
1217a933016
13b49313b0
146a993186
15428d5a60
hex2a7f1352

712971090 has 96 divisors (see below), whose sum is σ = 2065255920. Its totient is φ = 169440768.

The previous prime is 712971073. The next prime is 712971101. The reversal of 712971090 is 90179217.

It can be written as a sum of positive squares in 8 ways, for example, as 14584761 + 698386329 = 3819^2 + 26427^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23424 + ... + 44436.

Almost surely, 2712971090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712971090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032627960).

712971090 is an abundant number, since it is smaller than the sum of its proper divisors (1352284830).

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

712971090 is a wasteful number, since it uses less digits than its factorization.

712971090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21068 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 712971090 is about 26701.5184961455. The cubic root of 712971090 is about 893.3547962406.

The spelling of 712971090 in words is "seven hundred twelve million, nine hundred seventy-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 3393 3770 5655 6786 11310 16965 21013 33930 42026 63039 105065 126078 189117 210130 273169 315195 378234 546338 609377 630390 819507 945585 1218754 1365845 1639014 1828131 1891170 2458521 2731690 3046885 3656262 4097535 4917042 5484393 6093770 7921901 8195070 9140655 10968786 12292605 15843802 18281310 23765703 24585210 27421965 39609505 47531406 54843930 71297109 79219010 118828515 142594218 237657030 356485545 712971090