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20936960 = 285111487
BaseRepresentation
bin100111111011…
…1100100000000
31110101201002222
41033313210000
520324440320
62024430212
7342650462
oct117674400
943351088
1020936960
1110900280
127018368
134450a45
142ad0132
151c88825
hex13f7900

20936960 has 72 divisors (see below), whose sum is σ = 54746496. Its totient is φ = 7608320.

The previous prime is 20936947. The next prime is 20937017. The reversal of 20936960 is 6963902.

It is a self number, because there is not a number n which added to its sum of digits gives 20936960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13337 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (760368).

Almost surely, 220936960 is an apocalyptic number.

20936960 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 20936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373248).

20936960 is an abundant number, since it is smaller than the sum of its proper divisors (33809536).

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

20936960 is a wasteful number, since it uses less digits than its factorization.

20936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 20936960 is about 4575.6922973469. The cubic root of 20936960 is about 275.6160733462.

The spelling of 20936960 in words is "twenty million, nine hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1487 1760 2816 2974 3520 5948 7040 7435 11896 14080 14870 16357 23792 29740 32714 47584 59480 65428 81785 95168 118960 130856 163570 190336 237920 261712 327140 380672 475840 523424 654280 951680 1046848 1308560 1903360 2093696 2617120 4187392 5234240 10468480 20936960