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189332100 = 22335270123
BaseRepresentation
bin10110100100011…
…11101010000100
3111012021001211000
423102033222010
5341432111400
630442013300
74456203426
oct1322175204
9435231730
10189332100
1197967011
12534a7230
13302c0739
141b206816
151194d600
hexb48fa84

189332100 has 72 divisors (see below), whose sum is σ = 608676320. Its totient is φ = 50487840.

The previous prime is 189332089. The next prime is 189332107. The reversal of 189332100 is 1233981.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (189332107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32362 + ... + 37761.

Almost surely, 2189332100 is an apocalyptic number.

189332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189332100 is an abundant number, since it is smaller than the sum of its proper divisors (419344220).

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

189332100 is a wasteful number, since it uses less digits than its factorization.

189332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70146 (or 70133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 189332100 is about 13759.8001438974. The cubic root of 189332100 is about 574.2152874843.

The spelling of 189332100 in words is "one hundred eighty-nine million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 70123 140246 210369 280492 350615 420738 631107 701230 841476 1051845 1262214 1402460 1753075 1893321 2103690 2524428 3155535 3506150 3786642 4207380 5259225 6311070 7012300 7573284 9466605 10518450 12622140 15777675 18933210 21036900 31555350 37866420 47333025 63110700 94666050 189332100