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13460382 = 23213234161
BaseRepresentation
bin110011010110…
…001110011110
3221022212011200
4303112032132
511421213012
61200300330
7222261045
oct63261636
927285150
1013460382
117663a91
1246116a6
132a33930
141b0555c
1512ad3dc
hexcd639e

13460382 has 96 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3801600.

The previous prime is 13460353. The next prime is 13460383. The reversal of 13460382 is 28306431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13460383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220632 + ... + 220692.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 213460382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13460382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

13460382 is an abundant number, since it is smaller than the sum of its proper divisors (20662434).

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

13460382 is a wasteful number, since it uses less digits than its factorization.

13460382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13460382 is about 3668.8393259994. The cubic root of 13460382 is about 237.8770049233.

It can be divided in two parts, 134 and 60382, that added together give a square (60516 = 2462).

The spelling of 13460382 in words is "thirteen million, four hundred sixty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 41 46 61 69 78 82 117 122 123 138 183 207 234 246 299 366 369 414 533 549 598 738 793 897 943 1066 1098 1403 1586 1599 1794 1886 2379 2501 2691 2806 2829 3198 4209 4758 4797 5002 5382 5658 7137 7503 8418 8487 9594 12259 12627 14274 15006 16974 18239 22509 24518 25254 32513 36478 36777 45018 54717 57523 65026 73554 97539 109434 110331 115046 164151 172569 195078 220662 292617 328302 345138 517707 585234 747799 1035414 1495598 2243397 4486794 6730191 13460382