[go: up one dir, main page]

Search a number
-
+
14335872 = 273371009
BaseRepresentation
bin110110101011…
…111110000000
3222222100010020
4312223332000
512132221442
61231133440
7232565355
oct66537600
928870106
1014335872
118101831
124974280
132c7c285
141c9262c
1513d29ec
hexdabf80

14335872 has 64 divisors (see below), whose sum is σ = 39147600. Its totient is φ = 4644864.

The previous prime is 14335829. The next prime is 14335883. The reversal of 14335872 is 27853341.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13704 + ... + 14712.

Almost surely, 214335872 is an apocalyptic number.

14335872 is a gapful number since it is divisible by the number (12) 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 14335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573800).

14335872 is an abundant number, since it is smaller than the sum of its proper divisors (24811728).

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

14335872 is a wasteful number, since it uses less digits than its factorization.

14335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1051 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 14335872 is about 3786.2741580609. The cubic root of 14335872 is about 242.9263947505.

The spelling of 14335872 in words is "fourteen million, three hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1009 1184 1776 2018 2368 3027 3552 4036 4736 6054 7104 8072 12108 14208 16144 24216 32288 37333 48432 64576 74666 96864 111999 129152 149332 193728 223998 298664 387456 447996 597328 895992 1194656 1791984 2389312 3583968 4778624 7167936 14335872