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20907960 = 23351737277
BaseRepresentation
bin100111111000…
…0011110111000
31110100020022220
41033300132320
520323023320
62024044040
7342500103
oct117603670
943306286
1020907960
1110890507
127003620
134440798
142ac373a
151c7ee40
hex13f07b8

20907960 has 128 divisors (see below), whose sum is σ = 68454720. Its totient is φ = 5087232.

The previous prime is 20907947. The next prime is 20907979. The reversal of 20907960 is 6970902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75342 + ... + 75618.

Almost surely, 220907960 is an apocalyptic number.

20907960 is a gapful number since it is divisible by the number (20) 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 20907960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34227360).

20907960 is an abundant number, since it is smaller than the sum of its proper divisors (47546760).

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

20907960 is a wasteful number, since it uses less digits than its factorization.

20907960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 20907960 is about 4572.5222798801. The cubic root of 20907960 is about 275.4887616559.

The spelling of 20907960 in words is "twenty million, nine hundred seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 277 296 340 370 408 444 510 554 555 629 680 740 831 888 1020 1108 1110 1258 1385 1480 1662 1887 2040 2216 2220 2516 2770 3145 3324 3774 4155 4440 4709 5032 5540 6290 6648 7548 8310 9418 9435 10249 11080 12580 14127 15096 16620 18836 18870 20498 23545 25160 28254 30747 33240 37672 37740 40996 47090 51245 56508 61494 70635 75480 81992 94180 102490 113016 122988 141270 153735 174233 188360 204980 245976 282540 307470 348466 409960 522699 565080 614940 696932 871165 1045398 1229880 1393864 1742330 2090796 2613495 3484660 4181592 5226990 6969320 10453980 20907960