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13374660 = 22351321319
BaseRepresentation
bin110011000001…
…010011000100
3221011111120210
4303001103010
511410442120
61154355420
7221453115
oct63012304
927144523
1013374660
117605642
12458bb70
132a03900
141ac220c
151292ce0
hexcc14c4

13374660 has 72 divisors (see below), whose sum is σ = 40582080. Its totient is φ = 3289728.

The previous prime is 13374659. The next prime is 13374667. The reversal of 13374660 is 6647331.

13374660 = T72 + T73 + ... + T431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13374667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9481 + ... + 10799.

It is an arithmetic number, because the mean of its divisors is an integer number (563640).

Almost surely, 213374660 is an apocalyptic number.

13374660 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 13374660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291040).

13374660 is an abundant number, since it is smaller than the sum of its proper divisors (27207420).

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

13374660 is a wasteful number, since it uses less digits than its factorization.

13374660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 13374660 is about 3657.1382254435. The cubic root of 13374660 is about 237.3709585245.

The spelling of 13374660 in words is "thirteen million, three hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1319 1690 2028 2535 2638 3380 3957 5070 5276 6595 7914 10140 13190 15828 17147 19785 26380 34294 39570 51441 68588 79140 85735 102882 171470 205764 222911 257205 342940 445822 514410 668733 891644 1028820 1114555 1337466 2229110 2674932 3343665 4458220 6687330 13374660