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64723968 = 210332341
BaseRepresentation
bin1111011011100…
…1110000000000
311111210022121000
43312321300000
5113032131333
610231132000
71414100421
oct366716000
9144708530
1064723968
1133598091
1219814000
131054220a
14884b648
155a37713
hex3db9c00

64723968 has 88 divisors (see below), whose sum is σ = 191762960. Its totient is φ = 21565440.

The previous prime is 64723963. The next prime is 64723973. The reversal of 64723968 is 86932746.

It is an interprime number because it is at equal distance from previous prime (64723963) and next prime (64723973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64723963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26478 + ... + 28818.

Almost surely, 264723968 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 64723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95881480).

64723968 is an abundant number, since it is smaller than the sum of its proper divisors (127038992).

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

64723968 is a wasteful number, since it uses less digits than its factorization.

64723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2346 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64723968 is about 8045.1207573286. The cubic root of 64723968 is about 401.5026149692.

It can be divided in two parts, 6472 and 3968, that added together give a triangular number (10440 = T144).

The spelling of 64723968 in words is "sixty-four million, seven hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 2341 3072 3456 4608 4682 6912 7023 9216 9364 13824 14046 18728 21069 27648 28092 37456 42138 56184 63207 74912 84276 112368 126414 149824 168552 224736 252828 299648 337104 449472 505656 599296 674208 898944 1011312 1198592 1348416 1797888 2022624 2397184 2696832 3595776 4045248 5393664 7191552 8090496 10787328 16180992 21574656 32361984 64723968