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930123712 = 2674353911
BaseRepresentation
bin110111011100001…
…000111111000000
32101211012011212101
4313130020333000
53401102424322
6232143440144
732022630640
oct6734107700
92354164771
10930123712
11438037791
1221b5b6054
1311a912a7b
148b75c520
15569cc327
hex37708fc0

930123712 has 112 divisors (see below), whose sum is σ = 2201582592. Its totient is φ = 381588480.

The previous prime is 930123697. The next prime is 930123767. The reversal of 930123712 is 217321039.

930123712 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020537 + ... + 1021447.

Almost surely, 2930123712 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 930123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100791296).

930123712 is an abundant number, since it is smaller than the sum of its proper divisors (1271458880).

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

930123712 is a wasteful number, since it uses less digits than its factorization.

930123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 930123712 is about 30497.9296346490. The cubic root of 930123712 is about 976.1432872133.

The spelling of 930123712 in words is "nine hundred thirty million, one hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 53 56 64 86 106 112 172 212 224 301 344 371 424 448 602 688 742 848 911 1204 1376 1484 1696 1822 2279 2408 2752 2968 3392 3644 4558 4816 5936 6377 7288 9116 9632 11872 12754 14576 15953 18232 19264 23744 25508 29152 31906 36464 39173 48283 51016 58304 63812 72928 78346 96566 102032 127624 145856 156692 193132 204064 255248 274211 313384 337981 386264 408128 510496 548422 626768 675962 772528 1020992 1096844 1253536 1351924 1545056 2076169 2193688 2507072 2703848 3090112 4152338 4387376 5407696 8304676 8774752 10815392 14533183 16609352 17549504 21630784 29066366 33218704 58132732 66437408 116265464 132874816 232530928 465061856 930123712