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189070180 = 225132333121
BaseRepresentation
bin10110100010011…
…11101101100100
3111011202202112021
423101033231210
5341400221210
630432232524
74454033005
oct1321175544
9434682467
10189070180
11977a8252
125339b744
133022b460
141b1791ac
15118eabda
hexb44fb64

189070180 has 48 divisors (see below), whose sum is σ = 429562224. Its totient is φ = 69488640.

The previous prime is 189070153. The next prime is 189070187. The reversal of 189070180 is 81070981.

It can be written as a sum of positive squares in 8 ways, for example, as 98287396 + 90782784 = 9914^2 + 9528^2 .

It is not an unprimeable number, because it can be changed into a prime (189070187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59020 + ... + 62140.

It is an arithmetic number, because the mean of its divisors is an integer number (8949213).

Almost surely, 2189070180 is an apocalyptic number.

189070180 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 189070180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214781112).

189070180 is an abundant number, since it is smaller than the sum of its proper divisors (240492044).

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

189070180 is a wasteful number, since it uses less digits than its factorization.

189070180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 189070180 is about 13750.2792698912. The cubic root of 189070180 is about 573.9503775286.

The spelling of 189070180 in words is "one hundred eighty-nine million, seventy thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 932 1165 2330 3029 3121 4660 6058 6242 12116 12484 15145 15605 30290 31210 40573 60580 62420 81146 162292 202865 405730 727193 811460 1454386 2908772 3635965 7271930 9453509 14543860 18907018 37814036 47267545 94535090 189070180