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189091032 = 233133311831
BaseRepresentation
bin10110100010101…
…00110011011000
3111011210211010120
423101110303120
5341401403112
630432513240
74454150544
oct1321246330
9434724116
10189091032
1197811989
12533ab820
1330237ab0
141b182a24
1511901e8c
hexb454cd8

189091032 has 64 divisors (see below), whose sum is σ = 510908160. Its totient is φ = 57974400.

The previous prime is 189091031. The next prime is 189091039. The reversal of 189091032 is 230190981.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 189090984 and 189091002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189091031) 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 15 ways as a sum of consecutive naturals, for example, 102357 + ... + 104187.

It is an arithmetic number, because the mean of its divisors is an integer number (7982940).

Almost surely, 2189091032 is an apocalyptic number.

189091032 is a gapful number since it is divisible by the number (12) 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 189091032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255454080).

189091032 is an abundant number, since it is smaller than the sum of its proper divisors (321817128).

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

189091032 is a wasteful number, since it uses less digits than its factorization.

189091032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 189091032 is about 13751.0374881316. The cubic root of 189091032 is about 573.9714765254.

The spelling of 189091032 in words is "one hundred eighty-nine million, ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 331 662 993 1324 1831 1986 2648 3662 3972 4303 5493 7324 7944 8606 10986 12909 14648 17212 21972 23803 25818 34424 43944 47606 51636 71409 95212 103272 142818 190424 285636 571272 606061 1212122 1818183 2424244 3636366 4848488 7272732 7878793 14545464 15757586 23636379 31515172 47272758 63030344 94545516 189091032