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189971568 = 24376189
BaseRepresentation
bin10110101001010…
…11110001110000
3111020110120000000
423110223301300
5342113042233
630503430000
74464505653
oct1324536160
9436416000
10189971568
11982634a6
1253755300
1330485817
141b33189a
1511a27d13
hexb52bc70

189971568 has 160 divisors (see below), whose sum is σ = 567374400. Its totient is φ = 61585920.

The previous prime is 189971567. The next prime is 189971581. The reversal of 189971568 is 865179981.

189971568 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 71 + 568 = 666.

189971568 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189971567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134468 + ... + 2134556.

It is an arithmetic number, because the mean of its divisors is an integer number (3546090).

Almost surely, 2189971568 is an apocalyptic number.

189971568 is a gapful number since it is divisible by the number (18) 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 189971568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283687200).

189971568 is an abundant number, since it is smaller than the sum of its proper divisors (377402832).

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

189971568 is an frugal number, since it uses more digits than its factorization.

189971568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The square root of 189971568 is about 13783.0173764673. The cubic root of 189971568 is about 574.8610305619.

The spelling of 189971568 in words is "one hundred eighty-nine million, nine hundred seventy-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 89 108 122 144 162 178 183 216 243 244 267 324 356 366 432 486 488 534 549 648 712 729 732 801 972 976 1068 1098 1296 1424 1458 1464 1602 1647 1944 2136 2187 2196 2403 2916 2928 3204 3294 3888 4272 4374 4392 4806 4941 5429 5832 6408 6588 7209 8748 8784 9612 9882 10858 11664 12816 13176 14418 14823 16287 17496 19224 19764 21627 21716 26352 28836 29646 32574 34992 38448 39528 43254 43432 44469 48861 57672 59292 64881 65148 79056 86508 86864 88938 97722 115344 118584 129762 130296 133407 146583 173016 177876 194643 195444 237168 259524 260592 266814 293166 346032 355752 389286 390888 439749 519048 533628 586332 711504 778572 781776 879498 1038096 1067256 1172664 1319247 1557144 1758996 2134512 2345328 2638494 3114288 3517992 3957741 5276988 7035984 7915482 10553976 11873223 15830964 21107952 23746446 31661928 47492892 63323856 94985784 189971568