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189694160 = 245171011381
BaseRepresentation
bin10110100111010…
…00000011010000
3111012221110110122
423103220003100
5342030203120
630453445412
74462242125
oct1323500320
9435843418
10189694160
1198094037
1253640868
13303b9486
141b29c74c
15119c0a25
hexb4e80d0

189694160 has 80 divisors (see below), whose sum is σ = 471947472. Its totient is φ = 70656000.

The previous prime is 189694159. The next prime is 189694171. The reversal of 189694160 is 61496981.

It can be written as a sum of positive squares in 8 ways, for example, as 21939856 + 167754304 = 4684^2 + 12952^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136670 + ... + 138050.

Almost surely, 2189694160 is an apocalyptic number.

189694160 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 189694160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235973736).

189694160 is an abundant number, since it is smaller than the sum of its proper divisors (282253312).

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

189694160 is a wasteful number, since it uses less digits than its factorization.

189694160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 189694160 is about 13772.9503012245. The cubic root of 189694160 is about 574.5810786081.

The spelling of 189694160 in words is "one hundred eighty-nine million, six hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1360 1381 1616 1717 2020 2762 3434 4040 5524 6868 6905 8080 8585 11048 13736 13810 17170 22096 23477 27472 27620 34340 46954 55240 68680 93908 110480 117385 137360 139481 187816 234770 278962 375632 469540 557924 697405 939080 1115848 1394810 1878160 2231696 2371177 2789620 4742354 5579240 9484708 11158480 11855885 18969416 23711770 37938832 47423540 94847080 189694160