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20289720 = 23351119809
BaseRepresentation
bin100110101100…
…1100010111000
31102011211021010
41031121202320
520143232340
62002513520
7334313463
oct115314270
942154233
1020289720
11104a8a70
1269658a0
134285269
1429a22da
151babb80
hex13598b8

20289720 has 128 divisors (see below), whose sum is σ = 69984000. Its totient is φ = 4654080.

The previous prime is 20289713. The next prime is 20289733. The reversal of 20289720 is 2798202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24676 + ... + 25484.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 220289720 is an apocalyptic number.

20289720 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 20289720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992000).

20289720 is an abundant number, since it is smaller than the sum of its proper divisors (49694280).

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

20289720 is a wasteful number, since it uses less digits than its factorization.

20289720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20289720 is about 4504.4111712853. The cubic root of 20289720 is about 272.7461849511.

The spelling of 20289720 in words is "twenty million, two hundred eighty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 809 836 1045 1140 1254 1320 1618 1672 2090 2280 2427 2508 3135 3236 4045 4180 4854 5016 6270 6472 8090 8360 8899 9708 12135 12540 15371 16180 17798 19416 24270 25080 26697 30742 32360 35596 44495 46113 48540 53394 61484 71192 76855 88990 92226 97080 106788 122968 133485 153710 169081 177980 184452 213576 230565 266970 307420 338162 355960 368904 461130 507243 533940 614840 676324 845405 922260 1014486 1067880 1352648 1690810 1844520 2028972 2536215 3381620 4057944 5072430 6763240 10144860 20289720