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20971608 = 23372171049
BaseRepresentation
bin101000000000…
…0000001011000
31110110110122020
41100000001120
520332042413
62025254440
7343153500
oct120000130
943413566
1020971608
1110924309
127034420
134463748
142adca00
151c93c23
hex1400058

20971608 has 96 divisors (see below), whose sum is σ = 64638000. Its totient is φ = 5634048.

The previous prime is 20971583. The next prime is 20971619. The reversal of 20971608 is 80617902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19468 + ... + 20516.

Almost surely, 220971608 is an apocalyptic number.

20971608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20971608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319000).

20971608 is an abundant number, since it is smaller than the sum of its proper divisors (43666392).

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

20971608 is a wasteful number, since it uses less digits than its factorization.

20971608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20971608 is about 4579.4768260141. The cubic root of 20971608 is about 275.7680260459.

It can be divided in two parts, 209 and 71608, that added together give a palindrome (71817).

The spelling of 20971608 in words is "twenty million, nine hundred seventy-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1049 1176 1428 1666 2098 2499 2856 3147 3332 4196 4998 6294 6664 7343 8392 9996 12588 14686 17833 19992 22029 25176 29372 35666 44058 51401 53499 58744 71332 88116 102802 106998 124831 142664 154203 176232 205604 213996 249662 308406 374493 411208 427992 499324 616812 748986 873817 998648 1233624 1497972 1747634 2621451 2995944 3495268 5242902 6990536 10485804 20971608