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189658080 = 25325131707
BaseRepresentation
bin10110100110111…
…11001111100000
3111012212121222100
423103133033200
5342023024310
630453010400
74462032003
oct1323371740
9435777870
10189658080
1198069a17
1253623a00
13303a5c21
141b28d53a
15119b4ec0
hexb4df3e0

189658080 has 72 divisors (see below), whose sum is σ = 647213112. Its totient is φ = 50575104.

The previous prime is 189658003. The next prime is 189658081. The reversal of 189658080 is 80856981.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189658081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64414 + ... + 67293.

It is an arithmetic number, because the mean of its divisors is an integer number (8989071).

Almost surely, 2189658080 is an apocalyptic number.

189658080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189658080 is an abundant number, since it is smaller than the sum of its proper divisors (457555032).

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

189658080 is a wasteful number, since it uses less digits than its factorization.

189658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131728 (or 131717 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 189658080 is about 13771.6404251636. The cubic root of 189658080 is about 574.5446476855.

The spelling of 189658080 in words is "one hundred eighty-nine million, six hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 131707 263414 395121 526828 658535 790242 1053656 1185363 1317070 1580484 1975605 2107312 2370726 2634140 3160968 3951210 4214624 4741452 5268280 5926815 6321936 7902420 9482904 10536560 11853630 12643872 15804840 18965808 21073120 23707260 31609680 37931616 47414520 63219360 94829040 189658080