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20297760 = 253572863
BaseRepresentation
bin100110101101…
…1100000100000
31102012020021220
41031123200200
520144012020
62003015040
7334346100
oct115334040
942166256
1020297760
111050400a
12696a480
134288b12
1429a5200
151bae240
hex135b820

20297760 has 144 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 4634112.

The previous prime is 20297759. The next prime is 20297789. The reversal of 20297760 is 6779202.

It is a super-2 number, since 2×202977602 = 823998122035200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23089 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 220297760 is an apocalyptic number.

20297760 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 20297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

20297760 is an abundant number, since it is smaller than the sum of its proper divisors (54165216).

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

20297760 is a wasteful number, since it uses less digits than its factorization.

20297760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 20297760 is about 4505.3035413832. The cubic root of 20297760 is about 272.7822063081.

The spelling of 20297760 in words is "twenty million, two hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 863 980 1120 1176 1470 1568 1680 1726 1960 2352 2589 2940 3360 3452 3920 4315 4704 5178 5880 6041 6904 7840 8630 10356 11760 12082 12945 13808 17260 18123 20712 23520 24164 25890 27616 30205 34520 36246 41424 42287 48328 51780 60410 69040 72492 82848 84574 90615 96656 103560 120820 126861 138080 144984 169148 181230 193312 207120 211435 241640 253722 289968 338296 362460 414240 422870 483280 507444 579936 634305 676592 724920 845740 966560 1014888 1268610 1353184 1449840 1691480 2029776 2537220 2899680 3382960 4059552 5074440 6765920 10148880 20297760