Search a number
-
+
189323760 = 2435788849
BaseRepresentation
bin10110100100011…
…01100111110000
3111012020122101010
423102031213300
5341431330020
630441510520
74456140213
oct1322154760
9435218333
10189323760
119796081a
12534a2440
13302b99c2
141b20377a
151194ade0
hexb48d9f0

189323760 has 40 divisors (see below), whose sum is σ = 586904400. Its totient is φ = 50486272.

The previous prime is 189323749. The next prime is 189323777. The reversal of 189323760 is 67323981.

189323760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1893237602 = 71686972201075200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394185 + ... + 394664.

It is an arithmetic number, because the mean of its divisors is an integer number (14672610).

Almost surely, 2189323760 is an apocalyptic number.

189323760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189323760 is an abundant number, since it is smaller than the sum of its proper divisors (397580640).

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

189323760 is a wasteful number, since it uses less digits than its factorization.

189323760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788865 (or 788859 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 189323760 is about 13759.4970838327. The cubic root of 189323760 is about 574.2068560459.

The spelling of 189323760 in words is "one hundred eighty-nine million, three hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 788849 1577698 2366547 3155396 3944245 4733094 6310792 7888490 9466188 11832735 12621584 15776980 18932376 23665470 31553960 37864752 47330940 63107920 94661880 189323760