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21008292 = 22323103739
BaseRepresentation
bin101000000100…
…0111110100100
31110112022221220
41100020332210
520334231132
62030140340
7343365444
oct120107644
943468856
1021008292
1110949928
1270516b0
134477356
142b0c124
151c9ea2c
hex1408fa4

21008292 has 48 divisors (see below), whose sum is σ = 51717120. Its totient is φ = 6624288.

The previous prime is 21008291. The next prime is 21008293. The reversal of 21008292 is 29280012.

It is an interprime number because it is at equal distance from previous prime (21008291) and next prime (21008293).

It is a super-3 number, since 3×210082923 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21008291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28059 + ... + 28797.

It is an arithmetic number, because the mean of its divisors is an integer number (1077440).

Almost surely, 221008292 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 21008292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25858560).

21008292 is an abundant number, since it is smaller than the sum of its proper divisors (30708828).

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

21008292 is a wasteful number, since it uses less digits than its factorization.

21008292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21008292 is about 4583.4803370365. The cubic root of 21008292 is about 275.9287255570.

The spelling of 21008292 in words is "twenty-one million, eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 739 1236 1478 2217 2369 2956 4434 4738 7107 8868 9476 14214 16997 28428 33994 50991 67988 76117 101982 152234 203964 228351 304468 456702 913404 1750691 3501382 5252073 7002764 10504146 21008292