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20059680 = 253523279
BaseRepresentation
bin100110010000…
…1011000100000
31101202010201010
41030201120200
520113402210
61553540520
7332335014
oct114413040
941663633
1020059680
1110361153
126874740
134204644
142942544
151b63920
hex1321620

20059680 has 144 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 5051904.

The previous prime is 20059679. The next prime is 20059681. The reversal of 20059680 is 8695002.

It is an interprime number because it is at equal distance from previous prime (20059679) and next prime (20059681).

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

It is not an unprimeable number, because it can be changed into a prime (20059681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253881 + ... + 253959.

It is an arithmetic number, because the mean of its divisors is an integer number (464520).

Almost surely, 220059680 is an apocalyptic number.

20059680 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 20059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

20059680 is an abundant number, since it is smaller than the sum of its proper divisors (46831200).

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

20059680 is a wasteful number, since it uses less digits than its factorization.

20059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20059680 is about 4478.8034116268. The cubic root of 20059680 is about 271.7114876220.

The spelling of 20059680 in words is "twenty million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 79 80 92 96 115 120 138 158 160 184 230 237 240 276 316 345 368 395 460 474 480 529 552 632 690 736 790 920 948 1058 1104 1185 1264 1380 1580 1587 1817 1840 1896 2116 2208 2370 2528 2645 2760 3160 3174 3634 3680 3792 4232 4740 5290 5451 5520 6320 6348 7268 7584 7935 8464 9085 9480 10580 10902 11040 12640 12696 14536 15870 16928 18170 18960 21160 21804 25392 27255 29072 31740 36340 37920 41791 42320 43608 50784 54510 58144 63480 72680 83582 84640 87216 109020 125373 126960 145360 167164 174432 208955 218040 250746 253920 290720 334328 417910 436080 501492 626865 668656 835820 872160 1002984 1253730 1337312 1671640 2005968 2507460 3343280 4011936 5014920 6686560 10029840 20059680