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13380432 = 2431341523
BaseRepresentation
bin110011000010…
…101101010000
3221011210111120
4303002231100
511411133212
61154442240
7221506002
oct63025520
927153446
1013380432
117609a0a
124593380
132a06420
141ac4372
15129488c
hexcc2b50

13380432 has 80 divisors (see below), whose sum is σ = 38205888. Its totient is φ = 4008960.

The previous prime is 13380413. The next prime is 13380461. The reversal of 13380432 is 23408331.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25323 + ... + 25845.

Almost surely, 213380432 is an apocalyptic number.

13380432 is a gapful number since it is divisible by the number (12) 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 13380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102944).

13380432 is an abundant number, since it is smaller than the sum of its proper divisors (24825456).

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

13380432 is a wasteful number, since it uses less digits than its factorization.

13380432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13380432 is about 3657.9272819453. The cubic root of 13380432 is about 237.4051004048.

Adding to 13380432 its reverse (23408331), we get a palindrome (36788763).

The spelling of 13380432 in words is "thirteen million, three hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 523 533 624 656 984 1046 1066 1569 1599 1968 2092 2132 3138 3198 4184 4264 6276 6396 6799 8368 8528 12552 12792 13598 20397 21443 25104 25584 27196 40794 42886 54392 64329 81588 85772 108784 128658 163176 171544 257316 278759 326352 343088 514632 557518 836277 1029264 1115036 1672554 2230072 3345108 4460144 6690216 13380432