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20752704 = 263275147
BaseRepresentation
bin100111100101…
…0100101000000
31110001100100200
41033022211000
520303041304
62020445200
7341252340
oct117124500
943040320
1020752704
11107948a5
126b49800
1343b7c0b
142a82d20
151c4de39
hex13ca940

20752704 has 84 divisors (see below), whose sum is σ = 67994784. Its totient is φ = 5928192.

The previous prime is 20752691. The next prime is 20752727. The reversal of 20752704 is 40725702.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459 + ... + 6605.

Almost surely, 220752704 is an apocalyptic number.

20752704 is a gapful number since it is divisible by the number (24) 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 20752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997392).

20752704 is an abundant number, since it is smaller than the sum of its proper divisors (47242080).

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

20752704 is a wasteful number, since it uses less digits than its factorization.

20752704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 20752704 is about 4555.5135824625. The cubic root of 20752704 is about 274.8051688863.

The spelling of 20752704 in words is "twenty million, seven hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5147 10294 15441 20588 30882 36029 41176 46323 61764 72058 82352 92646 108087 123528 144116 164704 185292 216174 247056 288232 324261 329408 370584 432348 494112 576464 648522 741168 864696 988224 1152928 1297044 1482336 1729392 2305856 2594088 2964672 3458784 5188176 6917568 10376352 20752704