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196290720 = 25325271503
BaseRepresentation
bin10111011001100…
…10100010100000
3111200100121020200
423230302202200
5400222300340
631251105200
74602305103
oct1354624240
9450317220
10196290720
11a088a13a
12558a2200
1331888b72
141c0d873a
1512375330
hexbb328a0

196290720 has 144 divisors (see below), whose sum is σ = 673650432. Its totient is φ = 52047360.

The previous prime is 196290719. The next prime is 196290749. The reversal of 196290720 is 27092691.

196290720 is a `hidden beast` number, since 1 + 9 + 629 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 389989 + ... + 390491.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 2196290720 is an apocalyptic number.

196290720 is a gapful number since it is divisible by the number (10) 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 196290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336825216).

196290720 is an abundant number, since it is smaller than the sum of its proper divisors (477359712).

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

196290720 is a wasteful number, since it uses less digits than its factorization.

196290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

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

The square root of 196290720 is about 14010.3790098627. The cubic root of 196290720 is about 581.1656304875.

The spelling of 196290720 in words is "one hundred ninety-six million, two hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 271 288 360 480 503 542 720 813 1006 1084 1355 1440 1509 1626 2012 2168 2439 2515 2710 3018 3252 4024 4065 4336 4527 4878 5030 5420 6036 6504 7545 8048 8130 8672 9054 9756 10060 10840 12072 12195 13008 15090 16096 16260 18108 19512 20120 21680 22635 24144 24390 26016 30180 32520 36216 39024 40240 43360 45270 48288 48780 60360 65040 72432 78048 80480 90540 97560 120720 130080 136313 144864 181080 195120 241440 272626 362160 390240 408939 545252 681565 724320 817878 1090504 1226817 1363130 1635756 2044695 2181008 2453634 2726260 3271512 4089390 4362016 4907268 5452520 6134085 6543024 8178780 9814536 10905040 12268170 13086048 16357560 19629072 21810080 24536340 32715120 39258144 49072680 65430240 98145360 196290720