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21029952 = 263172379
BaseRepresentation
bin101000000111…
…0010001000000
31110120102200010
41100032101000
520340424302
62030424520
7343515546
oct120162100
943512603
1021029952
1110964129
127062140
134484178
142b15d96
151ca616c
hex140e440

21029952 has 84 divisors (see below), whose sum is σ = 59263280. Its totient is φ = 6580224.

The previous prime is 21029951. The next prime is 21029971. The reversal of 21029952 is 25992012.

It is a super-2 number, since 2×210299522 = 884517762244608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21029951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55299 + ... + 55677.

Almost surely, 221029952 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 21029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631640).

21029952 is an abundant number, since it is smaller than the sum of its proper divisors (38233328).

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

21029952 is a wasteful number, since it uses less digits than its factorization.

21029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 21029952 is about 4585.8425616238. The cubic root of 21029952 is about 276.0235224649.

The spelling of 21029952 in words is "twenty-one million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 289 379 408 544 578 758 816 867 1088 1137 1156 1516 1632 1734 2274 2312 3032 3264 3468 4548 4624 6064 6443 6936 9096 9248 12128 12886 13872 18192 18496 19329 24256 25772 27744 36384 38658 51544 55488 72768 77316 103088 109531 154632 206176 219062 309264 328593 412352 438124 618528 657186 876248 1237056 1314372 1752496 2628744 3504992 5257488 7009984 10514976 21029952