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20772680 = 2352367337
BaseRepresentation
bin100111100111…
…1011101001000
31110002100202112
41033033131020
520304211210
62021121452
7341364515
oct117173510
943070675
1020772680
11107a8905
126b59288
1343c4036
142a8a30c
151c54d05
hex13cf748

20772680 has 64 divisors (see below), whose sum is σ = 49645440. Its totient is φ = 7805952.

The previous prime is 20772667. The next prime is 20772707. The reversal of 20772680 is 8627702.

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, 61472 + ... + 61808.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 220772680 is an apocalyptic number.

20772680 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 20772680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24822720).

20772680 is an abundant number, since it is smaller than the sum of its proper divisors (28872760).

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

20772680 is a wasteful number, since it uses less digits than its factorization.

20772680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 20772680 is about 4557.7055631096. The cubic root of 20772680 is about 274.8933139885.

The spelling of 20772680 in words is "twenty million, seven hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 230 268 335 337 460 536 670 674 920 1340 1348 1541 1685 2680 2696 3082 3370 6164 6740 7705 7751 12328 13480 15410 15502 22579 30820 31004 38755 45158 61640 62008 77510 90316 112895 155020 180632 225790 310040 451580 519317 903160 1038634 2077268 2596585 4154536 5193170 10386340 20772680