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20789952 = 2631941139
BaseRepresentation
bin100111101001…
…1101011000000
31110010020110020
41033103223000
520310234302
62021333440
7341466051
oct117235300
943106406
1020789952
111080a887
126b67280
1343cbb61
142a92728
151c59ebc
hex13d3ac0

20789952 has 112 divisors (see below), whose sum is σ = 59740800. Its totient is φ = 6359040.

The previous prime is 20789927. The next prime is 20790017. The reversal of 20789952 is 25998702.

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, 149499 + ... + 149637.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 220789952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870400).

20789952 is an abundant number, since it is smaller than the sum of its proper divisors (38950848).

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

20789952 is a wasteful number, since it uses less digits than its factorization.

20789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 20789952 is about 4559.5999824546. The cubic root of 20789952 is about 274.9694820129.

The spelling of 20789952 in words is "twenty million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 139 152 164 192 228 246 278 304 328 417 456 492 556 608 656 779 834 912 984 1112 1216 1312 1558 1668 1824 1968 2224 2337 2624 2641 3116 3336 3648 3936 4448 4674 5282 5699 6232 6672 7872 7923 8896 9348 10564 11398 12464 13344 15846 17097 18696 21128 22796 24928 26688 31692 34194 37392 42256 45592 49856 63384 68388 74784 84512 91184 108281 126768 136776 149568 169024 182368 216562 253536 273552 324843 364736 433124 507072 547104 649686 866248 1094208 1299372 1732496 2598744 3464992 5197488 6929984 10394976 20789952