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712921014 = 23413503673
BaseRepresentation
bin101010011111100…
…100111110110110
31211200111010210000
4222133210332312
52430001433024
6154424212130
723444504631
oct5237447666
91750433700
10712921014
11336475123
1217a90a046
13b4914670
146a97cc18
15428c5cc9
hex2a7e4fb6

712921014 has 80 divisors (see below), whose sum is σ = 1726335072. Its totient is φ = 218598912.

The previous prime is 712921009. The next prime is 712921031. The reversal of 712921014 is 410129217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 1058982 + ... + 1059654.

Almost surely, 2712921014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712921014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863167536).

712921014 is an abundant number, since it is smaller than the sum of its proper divisors (1013414058).

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

712921014 is a wasteful number, since it uses less digits than its factorization.

712921014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 712921014 is about 26700.5807802003. The cubic root of 712921014 is about 893.3338806276. Note that the first 3 decimals are identical.

The spelling of 712921014 in words is "seven hundred twelve million, nine hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 503 673 702 1006 1053 1346 1509 2019 2106 3018 4038 4527 6057 6539 8749 9054 12114 13078 13581 17498 18171 19617 26247 27162 36342 39234 40743 52494 54513 58851 78741 81486 109026 117702 157482 176553 236223 338519 353106 472446 529659 677038 708669 1015557 1059318 1417338 2031114 3046671 4400747 6093342 8801494 9140013 13202241 18280026 26404482 27420039 39606723 54840078 79213446 118820169 237640338 356460507 712921014