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20757984 = 2531316633
BaseRepresentation
bin100111100101…
…1110111100000
31110001121121020
41033023313200
520303223414
62020525440
7341303622
oct117136740
943047536
1020757984
1110798865
126b50880
1343ba440
142a84c12
151c507a9
hex13cbde0

20757984 has 48 divisors (see below), whose sum is σ = 58684752. Its totient is φ = 6386688.

The previous prime is 20757967. The next prime is 20757991. The reversal of 20757984 is 48975702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 7069 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (1222599).

Almost surely, 220757984 is an apocalyptic number.

20757984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20757984 is an abundant number, since it is smaller than the sum of its proper divisors (37926768).

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

20757984 is a wasteful number, since it uses less digits than its factorization.

20757984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16659 (or 16651 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 20757984 is about 4556.0930631408. The cubic root of 20757984 is about 274.8284726488.

The spelling of 20757984 in words is "twenty million, seven hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 16633 33266 49899 66532 99798 133064 199596 216229 266128 399192 432458 532256 648687 798384 864916 1297374 1596768 1729832 2594748 3459664 5189496 6919328 10378992 20757984