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189529920 = 2632565809
BaseRepresentation
bin10110100101111…
…11111101000000
3111012122010011200
423102333331000
5342004424140
630450141200
74460656236
oct1322777500
9435563150
10189529920
1197a916a8
1253581800
133035c7a8
141b258956
151198c030
hexb4bff40

189529920 has 84 divisors (see below), whose sum is σ = 651913860. Its totient is φ = 50540544.

The previous prime is 189529903. The next prime is 189529933. The reversal of 189529920 is 29925981.

It can be written as a sum of positive squares in 2 ways, for example, as 133818624 + 55711296 = 11568^2 + 7464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30025 + ... + 35784.

Almost surely, 2189529920 is an apocalyptic number.

189529920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189529920 is an abundant number, since it is smaller than the sum of its proper divisors (462383940).

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

189529920 is a wasteful number, since it uses less digits than its factorization.

189529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65832 (or 65819 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 189529920 is about 13766.9865983809. The cubic root of 189529920 is about 574.4152038040.

The spelling of 189529920 in words is "one hundred eighty-nine million, five hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 65809 131618 197427 263236 329045 394854 526472 592281 658090 789708 987135 1052944 1184562 1316180 1579416 1974270 2105888 2369124 2632360 2961405 3158832 3948540 4211776 4738248 5264720 5922810 6317664 7897080 9476496 10529440 11845620 12635328 15794160 18952992 21058880 23691240 31588320 37905984 47382480 63176640 94764960 189529920