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189372260 = 225721121597
BaseRepresentation
bin10110100100110…
…01011101100100
3111012100002220102
423102121131210
5341434403020
630442523232
74456431500
oct1322313544
9435302812
10189372260
1197994200
1253506518
1330305abc
141b217300
151195a475
hexb499764

189372260 has 108 divisors (see below), whose sum is σ = 508806396. Its totient is φ = 58988160.

The previous prime is 189372229. The next prime is 189372263. The reversal of 189372260 is 62273981.

189372260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52388644 + 136983616 = 7238^2 + 11704^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (189372263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117782 + ... + 119378.

Almost surely, 2189372260 is an apocalyptic number.

189372260 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 189372260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254403198).

189372260 is an abundant number, since it is smaller than the sum of its proper divisors (319434136).

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

189372260 is a wasteful number, since it uses less digits than its factorization.

189372260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 189372260 is about 13761.2593900413. The cubic root of 189372260 is about 574.2558843256.

The spelling of 189372260 in words is "one hundred eighty-nine million, three hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 385 484 490 539 605 770 847 980 1078 1210 1540 1597 1694 2156 2420 2695 3194 3388 4235 5390 5929 6388 7985 8470 10780 11179 11858 15970 16940 17567 22358 23716 29645 31940 35134 44716 55895 59290 70268 78253 87835 111790 118580 122969 156506 175670 193237 223580 245938 313012 351340 386474 391265 491876 614845 772948 782530 860783 966185 1229690 1352659 1565060 1721566 1932370 2459380 2705318 3443132 3864740 4303915 5410636 6763295 8607830 9468613 13526590 17215660 18937226 27053180 37874452 47343065 94686130 189372260