[go: up one dir, main page]

Search a number
-
+
189686880 = 25335192311
BaseRepresentation
bin10110100111001…
…10010001100000
3111012221002111000
423103212101200
5342024440010
630453352000
74462211655
oct1323462140
9435832430
10189686880
1198089619
1253638600
13303b6076
141b299c2c
15119bd7c0
hexb4e6460

189686880 has 192 divisors, whose sum is σ = 699148800. Its totient is φ = 47900160.

The previous prime is 189686873. The next prime is 189686953. The reversal of 189686880 is 88686981.

It is a super-2 number, since 2×1896868802 = 71962224888268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80925 + ... + 83235.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2189686880 is an apocalyptic number.

189686880 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 189686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

189686880 is an abundant number, since it is smaller than the sum of its proper divisors (509461920).

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

189686880 is a wasteful number, since it uses less digits than its factorization.

189686880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 189686880 is about 13772.6860125395. The cubic root of 189686880 is about 574.5737281731.

The spelling of 189686880 in words is "one hundred eighty-nine million, six hundred eighty-six thousand, eight hundred eighty".