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189123456 = 2731573137
BaseRepresentation
bin10110100010111…
…00101110000000
3111011212110121110
423101130232000
5341403422311
630433323320
74454344224
oct1321345600
9434773543
10189123456
1197834285
1253406540
1330249792
141b190784
151190b8a6
hexb45cb80

189123456 has 64 divisors (see below), whose sum is σ = 505720080. Its totient is φ = 62619648.

The previous prime is 189123443. The next prime is 189123499. The reversal of 189123456 is 654321981.

It is a tau number, because it is divible by the number of its divisors (64).

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, 58720 + ... + 61856.

Almost surely, 2189123456 is an apocalyptic number.

189123456 is a gapful number since it is divisible by the number (16) 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 189123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252860040).

189123456 is an abundant number, since it is smaller than the sum of its proper divisors (316596624).

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

189123456 is a wasteful number, since it uses less digits than its factorization.

189123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3299 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 189123456 is about 13752.2164031839. The cubic root of 189123456 is about 574.0042815141.

The spelling of 189123456 in words is "one hundred eighty-nine million, one hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3137 3768 5024 6274 7536 9411 10048 12548 15072 18822 20096 25096 30144 37644 50192 60288 75288 100384 150576 200768 301152 401536 492509 602304 985018 1204608 1477527 1970036 2955054 3940072 5910108 7880144 11820216 15760288 23640432 31520576 47280864 63041152 94561728 189123456