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13977740 = 2257217839
BaseRepresentation
bin110101010100…
…100010001100
3222022010212002
4311110202030
512034241430
61215331432
7226544300
oct65244214
928263762
1013977740
117987757
124820b78
132b8526a
141bdbd00
151361845
hexd5488c

13977740 has 72 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4505088.

The previous prime is 13977737. The next prime is 13977751. The reversal of 13977740 is 4777931.

It is a junction number, because it is equal to n+sod(n) for n = 13977694 and 13977703.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16241 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 213977740 is an apocalyptic number.

13977740 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 13977740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

13977740 is an abundant number, since it is smaller than the sum of its proper divisors (22219540).

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

13977740 is a wasteful number, since it uses less digits than its factorization.

13977740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 13977740 is about 3738.6815858000. The cubic root of 13977740 is about 240.8864211168.

The spelling of 13977740 in words is "thirteen million, nine hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 839 980 1190 1666 1678 2380 3332 3356 4165 4195 5873 8330 8390 11746 14263 16660 16780 23492 28526 29365 41111 57052 58730 71315 82222 99841 117460 142630 164444 199682 205555 285260 399364 411110 499205 698887 822220 998410 1397774 1996820 2795548 3494435 6988870 13977740