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210939968 = 2629891277
BaseRepresentation
bin11001001001010…
…11000001000000
3112200220212020102
430210223001000
5413000034333
632533101532
75140650221
oct1444530100
9480825212
10210939968
11a9085358
125a7878a8
1334917965
142002d248
15137baae8
hexc92b040

210939968 has 56 divisors (see below), whose sum is σ = 438226200. Its totient is φ = 100610048.

The previous prime is 210939943. The next prime is 210939979. The reversal of 210939968 is 869939012.

It can be written as a sum of positive squares in 4 ways, for example, as 20720704 + 190219264 = 4552^2 + 13792^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164546 + ... + 165822.

Almost surely, 2210939968 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 210939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219113100).

210939968 is an abundant number, since it is smaller than the sum of its proper divisors (227286232).

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

210939968 is a wasteful number, since it uses less digits than its factorization.

210939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 210939968 is about 14523.7725126773. The cubic root of 210939968 is about 595.2777160825.

The spelling of 210939968 in words is "two hundred ten million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 178 232 356 464 712 928 1277 1424 1856 2554 2581 2848 5108 5162 5696 10216 10324 20432 20648 37033 40864 41296 74066 81728 82592 113653 148132 165184 227306 296264 454612 592528 909224 1185056 1818448 2370112 3295937 3636896 6591874 7273792 13183748 26367496 52734992 105469984 210939968