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189676332 = 2232411071201
BaseRepresentation
bin10110100111000…
…11101100101100
3111012220120000100
423103203230230
5342024120312
630453231100
74462136136
oct1323435454
9435816010
10189676332
11980816aa
1253632490
13303b1321
141b296056
15119ba5dc
hexb4e3b2c

189676332 has 72 divisors (see below), whose sum is σ = 496156752. Its totient is φ = 61056000.

The previous prime is 189676309. The next prime is 189676339. The reversal of 189676332 is 233676981.

189676332 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 7 + 633 + 2 = 666.

It is a super-2 number, since 2×1896763322 = 71954221841948448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189676339) 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, 157332 + ... + 158532.

It is an arithmetic number, because the mean of its divisors is an integer number (6891066).

Almost surely, 2189676332 is an apocalyptic number.

189676332 is a gapful number since it is divisible by the number (12) 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 189676332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248078376).

189676332 is an abundant number, since it is smaller than the sum of its proper divisors (306480420).

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

189676332 is a wasteful number, since it uses less digits than its factorization.

189676332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1354 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 189676332 is about 13772.3030753756. The cubic root of 189676332 is about 574.5630777862.

The spelling of 189676332 in words is "one hundred eighty-nine million, six hundred seventy-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 107 123 164 214 246 321 369 428 492 642 738 963 1201 1284 1476 1926 2402 3603 3852 4387 4804 7206 8774 10809 13161 14412 17548 21618 26322 39483 43236 49241 52644 78966 98482 128507 147723 157932 196964 257014 295446 385521 443169 514028 590892 771042 886338 1156563 1542084 1772676 2313126 4626252 5268787 10537574 15806361 21075148 31612722 47419083 63225444 94838166 189676332