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189668080 = 24571512243
BaseRepresentation
bin10110100111000…
…01101011110000
3111012220010200201
423103201223300
5342023334310
630453124544
74462103110
oct1323415360
9435803621
10189668080
1198076488
1253629754
13303aa644
141b293040
15119b7e3a
hexb4e1af0

189668080 has 80 divisors (see below), whose sum is σ = 507538944. Its totient is φ = 64569600.

The previous prime is 189668071. The next prime is 189668117. The reversal of 189668080 is 80866981.

189668080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 189668080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83439 + ... + 85681.

Almost surely, 2189668080 is an apocalyptic number.

189668080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253769472).

189668080 is an abundant number, since it is smaller than the sum of its proper divisors (317870864).

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

189668080 is a wasteful number, since it uses less digits than its factorization.

189668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 189668080 is about 13772.0034853321. The cubic root of 189668080 is about 574.5547454106.

The spelling of 189668080 in words is "one hundred eighty-nine million, six hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 1057 1208 1510 2114 2243 2416 3020 4228 4486 5285 6040 8456 8972 10570 11215 12080 15701 16912 17944 21140 22430 31402 35888 42280 44860 62804 78505 84560 89720 125608 157010 179440 251216 314020 338693 628040 677386 1256080 1354772 1693465 2370851 2709544 3386930 4741702 5419088 6773860 9483404 11854255 13547720 18966808 23708510 27095440 37933616 47417020 94834040 189668080