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21970256 = 24711171049
BaseRepresentation
bin101001111001…
…1110101010000
31112100012112012
41103303311100
521111022011
62102522052
7354513140
oct123636520
945305465
1021970256
1111446640
127436328
134723169
142cbc920
151ddea8b
hex14f3d50

21970256 has 80 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 8048640.

The previous prime is 21970229. The next prime is 21970271. The reversal of 21970256 is 65207912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20420 + ... + 21468.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 221970256 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 21970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

21970256 is an abundant number, since it is smaller than the sum of its proper divisors (34276144).

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

21970256 is a wasteful number, since it uses less digits than its factorization.

21970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 21970256 is about 4687.2439663410. The cubic root of 21970256 is about 280.0775975407.

The spelling of 21970256 in words is "twenty-one million, nine hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1049 1232 1309 1496 1904 2098 2618 2992 4196 5236 7343 8392 10472 11539 14686 16784 17833 20944 23078 29372 35666 46156 58744 71332 80773 92312 117488 124831 142664 161546 184624 196163 249662 285328 323092 392326 499324 646184 784652 998648 1292368 1373141 1569304 1997296 2746282 3138608 5492564 10985128 21970256