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20970432 = 263272743
BaseRepresentation
bin100111111111…
…1101111000000
31110110102000200
41033333233000
520332023212
62025245200
7343150200
oct117775700
943412020
1020970432
111092343a
127033800
134463052
142adc400
151c936dc
hex13ffbc0

20970432 has 126 divisors (see below), whose sum is σ = 70015608. Its totient is φ = 5983488.

The previous prime is 20970407. The next prime is 20970461. The reversal of 20970432 is 23407902.

It is a tau number, because it is divible by the number of its divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 20970396 and 20970405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27853 + ... + 28595.

Almost surely, 220970432 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 20970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007804).

20970432 is an abundant number, since it is smaller than the sum of its proper divisors (49045176).

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

20970432 is a wasteful number, since it uses less digits than its factorization.

20970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20970432 is about 4579.3484252675. The cubic root of 20970432 is about 275.7628713107.

The spelling of 20970432 in words is "twenty million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 743 784 882 1008 1176 1344 1486 1568 1764 2016 2229 2352 2972 3136 3528 4032 4458 4704 5201 5944 6687 7056 8916 9408 10402 11888 13374 14112 15603 17832 20804 23776 26748 28224 31206 35664 36407 41608 46809 47552 53496 62412 71328 72814 83216 93618 106992 109221 124824 142656 145628 166432 187236 213984 218442 249648 291256 327663 332864 374472 427968 436884 499296 582512 655326 748944 873768 998592 1165024 1310652 1497888 1747536 2330048 2621304 2995776 3495072 5242608 6990144 10485216 20970432