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14932840 = 235132472
BaseRepresentation
bin111000111101…
…101101101000
31001002200000011
4320331231220
512310322330
61252021304
7240632656
oct70755550
931080004
1014932840
11847a29a
125001834
13312ac00
141da9dd6
15149e82a
hexe3db68

14932840 has 72 divisors (see below), whose sum is σ = 37172790. Its totient is φ = 5396352.

The previous prime is 14932829. The next prime is 14932847. The reversal of 14932840 is 4823941.

It can be written as a sum of positive squares in 3 ways, for example, as 6441444 + 8491396 = 2538^2 + 2914^2 .

It is not an unprimeable number, because it can be changed into a prime (14932847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 317697 + ... + 317743.

Almost surely, 214932840 is an apocalyptic number.

14932840 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 14932840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586395).

14932840 is an abundant number, since it is smaller than the sum of its proper divisors (22239950).

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

14932840 is a wasteful number, since it uses less digits than its factorization.

14932840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 14932840 is about 3864.3033007258. The cubic root of 14932840 is about 246.2525882899.

It can be divided in two parts, 1 and 4932840, that added together give a square (4932841 = 22212).

The spelling of 14932840 in words is "fourteen million, nine hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 169 188 235 260 338 376 470 520 611 676 845 940 1222 1352 1690 1880 2209 2444 3055 3380 4418 4888 6110 6760 7943 8836 11045 12220 15886 17672 22090 24440 28717 31772 39715 44180 57434 63544 79430 88360 114868 143585 158860 229736 287170 317720 373321 574340 746642 1148680 1493284 1866605 2986568 3733210 7466420 14932840