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21413088 = 2532149499
BaseRepresentation
bin101000110101…
…1110011100000
31111021220020100
41101223303200
520440204323
62042542400
7350002554
oct121536340
944256210
1021413088
11110a5a74
127207a00
134589688
142bb5864
151d2e943
hex146bce0

21413088 has 72 divisors (see below), whose sum is σ = 61425000. Its totient is φ = 7075584.

The previous prime is 21413083. The next prime is 21413099. The reversal of 21413088 is 88031412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21413083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42663 + ... + 43161.

It is an arithmetic number, because the mean of its divisors is an integer number (853125).

Almost surely, 221413088 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 21413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712500).

21413088 is an abundant number, since it is smaller than the sum of its proper divisors (40011912).

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

21413088 is a wasteful number, since it uses less digits than its factorization.

21413088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21413088 is about 4627.4277952227. The cubic root of 21413088 is about 277.6896974188.

The spelling of 21413088 in words is "twenty-one million, four hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 499 596 894 998 1192 1341 1497 1788 1996 2384 2682 2994 3576 3992 4491 4768 5364 5988 7152 7984 8982 10728 11976 14304 15968 17964 21456 23952 35928 42912 47904 71856 74351 143712 148702 223053 297404 446106 594808 669159 892212 1189616 1338318 1784424 2379232 2676636 3568848 5353272 7137696 10706544 21413088