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14935096 = 23112347157
BaseRepresentation
bin111000111110…
…010000111000
31001002210002201
4320332100320
512310410341
61252035544
7240642361
oct70762070
931083081
1014935096
118480a60
125002bb4
13312bc47
141daab68
1514a0331
hexe3e438

14935096 has 64 divisors (see below), whose sum is σ = 32762880. Its totient is φ = 6314880.

The previous prime is 14935093. The next prime is 14935099. The reversal of 14935096 is 69053941.

14935096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14935093) and next prime (14935099).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14935091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95050 + ... + 95206.

It is an arithmetic number, because the mean of its divisors is an integer number (511920).

Almost surely, 214935096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14935096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381440).

14935096 is an abundant number, since it is smaller than the sum of its proper divisors (17827784).

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

14935096 is a wasteful number, since it uses less digits than its factorization.

14935096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 14935096 is about 3864.5951922549. The cubic root of 14935096 is about 246.2649886519.

It can be divided in two parts, 149 and 35096, that added together give a triangular number (35245 = T265).

The spelling of 14935096 in words is "fourteen million, nine hundred thirty-five thousand, ninety-six".

Divisors: 1 2 4 8 11 22 23 44 46 47 88 92 94 157 184 188 253 314 376 506 517 628 1012 1034 1081 1256 1727 2024 2068 2162 3454 3611 4136 4324 6908 7222 7379 8648 11891 13816 14444 14758 23782 28888 29516 39721 47564 59032 79442 81169 95128 158884 162338 169717 317768 324676 339434 649352 678868 1357736 1866887 3733774 7467548 14935096