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189481590 = 232523239383
BaseRepresentation
bin10110100101101…
…00001001110110
3111012112122212200
423102310021312
5342001402330
630445125330
74460365314
oct1322641166
9435478780
10189481590
1197a59361
1253559846
13303437ac
141b2450b4
151197ca60
hexb4b4276

189481590 has 96 divisors (see below), whose sum is σ = 517570560. Its totient is φ = 48003648.

The previous prime is 189481577. The next prime is 189481597. The reversal of 189481590 is 95184981.

189481590 is a `hidden beast` number, since 1 + 89 + 481 + 5 + 90 = 666.

189481590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189481597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494539 + ... + 494921.

It is an arithmetic number, because the mean of its divisors is an integer number (5391360).

Almost surely, 2189481590 is an apocalyptic number.

189481590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189481590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258785280).

189481590 is an abundant number, since it is smaller than the sum of its proper divisors (328088970).

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

189481590 is a wasteful number, since it uses less digits than its factorization.

189481590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 189481590 is about 13765.2312003831. The cubic root of 189481590 is about 574.3663744919.

The spelling of 189481590 in words is "one hundred eighty-nine million, four hundred eighty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 239 345 383 414 478 690 717 766 1035 1149 1195 1434 1915 2070 2151 2298 2390 3447 3585 3830 4302 5497 5745 6894 7170 8809 10755 10994 11490 16491 17235 17618 21510 26427 27485 32982 34470 44045 49473 52854 54970 79281 82455 88090 91537 98946 132135 158562 164910 183074 247365 264270 274611 396405 457685 494730 549222 792810 823833 915370 1373055 1647666 2105351 2746110 4119165 4210702 6316053 8238330 10526755 12632106 18948159 21053510 31580265 37896318 63160530 94740795 189481590