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189828320 = 25511107857
BaseRepresentation
bin10110101000010…
…00110011100000
3111020012021111112
423110020303200
5342044001240
630500402452
74463341223
oct1324106340
9436167445
10189828320
1198175910
12536a6428
1330435566
141b2d55ba
15119ea665
hexb508ce0

189828320 has 48 divisors (see below), whose sum is σ = 489243888. Its totient is φ = 69027840.

The previous prime is 189828313. The next prime is 189828371. The reversal of 189828320 is 23828981.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52169 + ... + 55688.

It is an arithmetic number, because the mean of its divisors is an integer number (10192581).

Almost surely, 2189828320 is an apocalyptic number.

189828320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189828320 is an abundant number, since it is smaller than the sum of its proper divisors (299415568).

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

189828320 is a wasteful number, since it uses less digits than its factorization.

189828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107883 (or 107875 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 189828320 is about 13777.8198565666. The cubic root of 189828320 is about 574.7165029702.

The spelling of 189828320 in words is "one hundred eighty-nine million, eight hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 107857 215714 431428 539285 862856 1078570 1186427 1725712 2157140 2372854 3451424 4314280 4745708 5932135 8628560 9491416 11864270 17257120 18982832 23728540 37965664 47457080 94914160 189828320