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20169792 = 263219297
BaseRepresentation
bin100110011110…
…0010001000000
31101221201202100
41030330101000
520130413132
62000150400
7333304026
oct114742100
941851670
1020169792
1110426955
126908400
1342427b6
142970716
151b8637c
hex133c440

20169792 has 126 divisors (see below), whose sum is σ = 61645038. Its totient is φ = 6303744.

The previous prime is 20169767. The next prime is 20169817. The reversal of 20169792 is 29796102.

It is an interprime number because it is at equal distance from previous prime (20169767) and next prime (20169817).

It can be written as a sum of positive squares in only one way, i.e., 16842816 + 3326976 = 4104^2 + 1824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207888 + ... + 207984.

Almost surely, 220169792 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 20169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30822519).

20169792 is an abundant number, since it is smaller than the sum of its proper divisors (41475246).

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

20169792 is a wasteful number, since it uses less digits than its factorization.

20169792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 20169792 is about 4491.0791576190. The cubic root of 20169792 is about 272.2077421024.

The spelling of 20169792 in words is "twenty million, one hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 97 114 144 152 171 192 194 228 288 291 304 342 361 388 456 576 582 608 684 722 776 873 912 1083 1164 1216 1368 1444 1552 1746 1824 1843 2166 2328 2736 2888 3104 3249 3492 3648 3686 4332 4656 5472 5529 5776 6208 6498 6984 7372 8664 9312 10944 11058 11552 12996 13968 14744 16587 17328 18624 22116 23104 25992 27936 29488 33174 34656 35017 44232 51984 55872 58976 66348 69312 70034 88464 103968 105051 117952 132696 140068 176928 207936 210102 265392 280136 315153 353856 420204 530784 560272 630306 840408 1061568 1120544 1260612 1680816 2241088 2521224 3361632 5042448 6723264 10084896 20169792