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20968896 = 2631331271
BaseRepresentation
bin100111111111…
…1010111000000
31110110022220210
41033333113000
520332001041
62025234120
7343142544
oct117772700
943408823
1020968896
1110922273
127032940
134462440
142adba24
151c93016
hex13ff5c0

20968896 has 112 divisors (see below), whose sum is σ = 61902848. Its totient is φ = 6220800.

The previous prime is 20968889. The next prime is 20968901. The reversal of 20968896 is 69886902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77241 + ... + 77511.

It is an arithmetic number, because the mean of its divisors is an integer number (552704).

Almost surely, 220968896 is an apocalyptic number.

20968896 is a gapful number since it is divisible by the number (26) 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 20968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30951424).

20968896 is an abundant number, since it is smaller than the sum of its proper divisors (40933952).

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

20968896 is a wasteful number, since it uses less digits than its factorization.

20968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 20968896 is about 4579.1807127476. The cubic root of 20968896 is about 275.7561383050.

The spelling of 20968896 in words is "twenty million, nine hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 271 312 372 403 416 496 542 624 744 806 813 832 992 1084 1209 1248 1488 1612 1626 1984 2168 2418 2496 2976 3224 3252 3523 4336 4836 5952 6448 6504 7046 8401 8672 9672 10569 12896 13008 14092 16802 17344 19344 21138 25203 25792 26016 28184 33604 38688 42276 50406 52032 56368 67208 77376 84552 100812 109213 112736 134416 169104 201624 218426 225472 268832 327639 338208 403248 436852 537664 655278 676416 806496 873704 1310556 1612992 1747408 2621112 3494816 5242224 6989632 10484448 20968896