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189292180 = 2257111011217
BaseRepresentation
bin10110100100001…
…01111010010100
3111012012001001111
423102011322110
5341424322210
630441104404
74455646150
oct1322057224
9435161044
10189292180
119793a020
1253488104
13302a850c
141b1d6060
151194188a
hexb485e94

189292180 has 96 divisors (see below), whose sum is σ = 500919552. Its totient is φ = 58368000.

The previous prime is 189292163. The next prime is 189292217. The reversal of 189292180 is 81292981.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154932 + ... + 156148.

It is an arithmetic number, because the mean of its divisors is an integer number (5217912).

Almost surely, 2189292180 is an apocalyptic number.

189292180 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 189292180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250459776).

189292180 is an abundant number, since it is smaller than the sum of its proper divisors (311627372).

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

189292180 is a wasteful number, since it uses less digits than its factorization.

189292180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 189292180 is about 13758.3494649613. The cubic root of 189292180 is about 574.1749275638.

The spelling of 189292180 in words is "one hundred eighty-nine million, two hundred ninety-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1217 1414 1540 2020 2222 2434 2828 3535 4444 4868 5555 6085 7070 7777 8519 11110 12170 13387 14140 15554 17038 22220 24340 26774 31108 34076 38885 42595 53548 66935 77770 85190 93709 122917 133870 155540 170380 187418 245834 267740 374836 468545 491668 614585 860419 937090 1229170 1352087 1720838 1874180 2458340 2704174 3441676 4302095 5408348 6760435 8604190 9464609 13520870 17208380 18929218 27041740 37858436 47323045 94646090 189292180