Search a number
-
+
105714328 = 23193718797
BaseRepresentation
bin1100100110100…
…01001010011000
321100220211210111
412103101022120
5204030324303
614253454104
72422362016
oct623211230
9240824714
10105714328
1154744815
122b4a1334
1318b94775
141007b8b6
159432b6d
hex64d1298

105714328 has 32 divisors (see below), whose sum is σ = 214297200. Its totient is φ = 48719232.

The previous prime is 105714319. The next prime is 105714341. The reversal of 105714328 is 823417501.

It is a super-2 number, since 2×1057143282 = 22351038288983168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105714328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3775 + ... + 15022.

Almost surely, 2105714328 is an apocalyptic number.

It is an amenable number.

105714328 is an abundant number, since it is smaller than the sum of its proper divisors (108582872).

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

105714328 is a wasteful number, since it uses less digits than its factorization.

105714328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18859 (or 18855 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105714328 is about 10281.7473223183. The cubic root of 105714328 is about 472.8368162940.

The spelling of 105714328 in words is "one hundred five million, seven hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 19 37 38 74 76 148 152 296 703 1406 2812 5624 18797 37594 75188 150376 357143 695489 714286 1390978 1428572 2781956 2857144 5563912 13214291 26428582 52857164 105714328