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13755480 = 2335791451
BaseRepresentation
bin110100011110…
…010001011000
3221212211222020
4310132101120
512010133410
61210454440
7224630304
oct64362130
927784866
1013755480
117845772
124734420
132b0804b
141b80d04
15131aa70
hexd1e458

13755480 has 64 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 3619200.

The previous prime is 13755479. The next prime is 13755509. The reversal of 13755480 is 8455731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8755 + ... + 10205.

It is an arithmetic number, because the mean of its divisors is an integer number (653400).

Almost surely, 213755480 is an apocalyptic number.

13755480 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 13755480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

13755480 is an abundant number, since it is smaller than the sum of its proper divisors (28062120).

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

13755480 is a wasteful number, since it uses less digits than its factorization.

13755480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 13755480 is about 3708.8380929882. The cubic root of 13755480 is about 239.6028152694.

The spelling of 13755480 in words is "thirteen million, seven hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1451 1580 1896 2370 2902 3160 4353 4740 5804 7255 8706 9480 11608 14510 17412 21765 29020 34824 43530 58040 87060 114629 174120 229258 343887 458516 573145 687774 917032 1146290 1375548 1719435 2292580 2751096 3438870 4585160 6877740 13755480