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189042720 = 25351723167
BaseRepresentation
bin10110100010010…
…01000000100000
3111011201100212020
423101021000200
5341343331340
630431501440
74453556646
oct1321110040
9434640766
10189042720
1197789659
1253387880
133021bac9
141b16d196
15118e29d0
hexb449020

189042720 has 96 divisors (see below), whose sum is σ = 630540288. Its totient is φ = 47443968.

The previous prime is 189042701. The next prime is 189042767. The reversal of 189042720 is 27240981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3424 + ... + 19743.

It is an arithmetic number, because the mean of its divisors is an integer number (6568128).

Almost surely, 2189042720 is an apocalyptic number.

189042720 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 189042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315270144).

189042720 is an abundant number, since it is smaller than the sum of its proper divisors (441497568).

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

189042720 is a wasteful number, since it uses less digits than its factorization.

189042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23202 (or 23194 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 189042720 is about 13749.2807084589. The cubic root of 189042720 is about 573.9225898919.

The spelling of 189042720 in words is "one hundred eighty-nine million, forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 23167 46334 69501 92668 115835 139002 185336 231670 278004 347505 370672 393839 463340 556008 695010 741344 787678 926680 1112016 1181517 1390020 1575356 1853360 1969195 2224032 2363034 2780040 3150712 3706720 3938390 4726068 5560080 5907585 6301424 7876780 9452136 11120160 11815170 12602848 15753560 18904272 23630340 31507120 37808544 47260680 63014240 94521360 189042720