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189997056 = 21333859
BaseRepresentation
bin10110101001100…
…10000000000000
3111020111211222000
423110302000000
5342114401211
630504144000
74464643164
oct1324620000
9436454860
10189997056
1198280667
1253768000
13304942c2
141b33aca4
1511a30656
hexb532000

189997056 has 112 divisors (see below), whose sum is σ = 563575200. Its totient is φ = 63258624.

The previous prime is 189997019. The next prime is 189997063. The reversal of 189997056 is 650799981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 189996993 and 189997011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220755 + ... + 221613.

Almost surely, 2189997056 is an apocalyptic number.

189997056 is a gapful number since it is divisible by the number (16) 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 189997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281787600).

189997056 is an abundant number, since it is smaller than the sum of its proper divisors (373578144).

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

189997056 is an frugal number, since it uses more digits than its factorization.

189997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 189997056 is about 13783.9419615725. The cubic root of 189997056 is about 574.8867386242.

The spelling of 189997056 in words is "one hundred eighty-nine million, nine hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 859 864 1024 1152 1536 1718 1728 2048 2304 2577 3072 3436 3456 4096 4608 5154 6144 6872 6912 7731 8192 9216 10308 12288 13744 13824 15462 18432 20616 23193 24576 27488 27648 30924 36864 41232 46386 54976 55296 61848 73728 82464 92772 109952 110592 123696 164928 185544 219904 221184 247392 329856 371088 439808 494784 659712 742176 879616 989568 1319424 1484352 1759232 1979136 2638848 2968704 3518464 3958272 5277696 5937408 7036928 7916544 10555392 11874816 15833088 21110784 23749632 31666176 47499264 63332352 94998528 189997056