Search a number
-
+
189766016 = 2711134777
BaseRepresentation
bin10110100111110…
…01100110000000
3111020002010000222
423103321212000
5342040003031
630455202212
74462661456
oct1323714600
9436063028
10189766016
1198133020
1253676368
13304130ab
141b2ba9d6
15119d6e7b
hexb4f9980

189766016 has 32 divisors (see below), whose sum is σ = 412420680. Its totient is φ = 86256640.

The previous prime is 189765991. The next prime is 189766021. The reversal of 189766016 is 610667981.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1897660162 = 72022281657024512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 65981 + ... + 68796.

Almost surely, 2189766016 is an apocalyptic number.

189766016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189766016 is an abundant number, since it is smaller than the sum of its proper divisors (222654664).

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

189766016 is a wasteful number, since it uses less digits than its factorization.

189766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134802 (or 134790 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 189766016 is about 13775.5586456593. The cubic root of 189766016 is about 574.6536197377.

The spelling of 189766016 in words is "one hundred eighty-nine million, seven hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 134777 269554 539108 1078216 1482547 2156432 2965094 4312864 5930188 8625728 11860376 17251456 23720752 47441504 94883008 189766016