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14274640 = 2451091637
BaseRepresentation
bin110110011101…
…000001010000
3222212020010101
4312131001100
512123242030
61225542144
7232222012
oct66350120
928766111
1014274640
11806a826
124944954
132c5a443
141c781b2
1513be7ca
hexd9d050

14274640 has 40 divisors (see below), whose sum is σ = 33513480. Its totient is φ = 5654016.

The previous prime is 14274613. The next prime is 14274653. The reversal of 14274640 is 4647241.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 14077504 = 444^2 + 3752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14274599 and 14274608.

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, 7902 + ... + 9538.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 214274640 is an apocalyptic number.

14274640 is a gapful number since it is divisible by the number (10) 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 14274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740).

14274640 is an abundant number, since it is smaller than the sum of its proper divisors (19238840).

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

14274640 is a wasteful number, since it uses less digits than its factorization.

14274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 14274640 is about 3778.1794557697. The cubic root of 14274640 is about 242.5800352252.

The spelling of 14274640 in words is "fourteen million, two hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1637 1744 2180 3274 4360 6548 8185 8720 13096 16370 26192 32740 65480 130960 178433 356866 713732 892165 1427464 1784330 2854928 3568660 7137320 14274640