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13795380 = 2233559433
BaseRepresentation
bin110100101000…
…000000110100
3221221212201000
4310220000310
512012423010
61211403300
7225154524
oct64500064
927855630
1013795380
117872745
124753530
132b20261
141b91684
1513277c0
hexd28034

13795380 has 96 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 3608064.

The previous prime is 13795373. The next prime is 13795409. The reversal of 13795380 is 8359731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31644 + ... + 32076.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 213795380 is an apocalyptic number.

13795380 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 13795380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

13795380 is an abundant number, since it is smaller than the sum of its proper divisors (29951820).

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

13795380 is a wasteful number, since it uses less digits than its factorization.

13795380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13795380 is about 3714.2132410512. The cubic root of 13795380 is about 239.8342605699.

The spelling of 13795380 in words is "thirteen million, seven hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 433 531 540 590 708 866 885 1062 1180 1299 1593 1732 1770 2124 2165 2598 2655 3186 3540 3897 4330 5196 5310 6372 6495 7794 7965 8660 10620 11691 12990 15588 15930 19485 23382 25547 25980 31860 38970 46764 51094 58455 76641 77940 102188 116910 127735 153282 229923 233820 255470 306564 383205 459846 510940 689769 766410 919692 1149615 1379538 1532820 2299230 2759076 3448845 4598460 6897690 13795380