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189427104 = 25321275179
BaseRepresentation
bin10110100101001…
…10110110100000
3111012102220010200
423102212312200
5341443131404
630444025200
74460050416
oct1322466640
9435386120
10189427104
1197a21429
1253532200
1330324a59
141b22d2b6
151196b839
hexb4a6da0

189427104 has 72 divisors (see below), whose sum is σ = 543029760. Its totient is φ = 62633088.

The previous prime is 189427099. The next prime is 189427109. The reversal of 189427104 is 401724981.

It is an interprime number because it is at equal distance from previous prime (189427099) and next prime (189427109).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189427109) 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 11 ways as a sum of consecutive naturals, for example, 33987 + ... + 39165.

It is an arithmetic number, because the mean of its divisors is an integer number (7542080).

Almost surely, 2189427104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271514880).

189427104 is an abundant number, since it is smaller than the sum of its proper divisors (353602656).

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

189427104 is a wasteful number, since it uses less digits than its factorization.

189427104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 189427104 is about 13763.2519413110. The cubic root of 189427104 is about 574.3113156224.

The spelling of 189427104 in words is "one hundred eighty-nine million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 5179 6096 9144 10358 12192 15537 18288 20716 31074 36576 41432 46611 62148 82864 93222 124296 165728 186444 248592 372888 497184 657733 745776 1315466 1491552 1973199 2630932 3946398 5261864 5919597 7892796 10523728 11839194 15785592 21047456 23678388 31571184 47356776 63142368 94713552 189427104