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13869480 = 2335412819
BaseRepresentation
bin110100111010…
…000110101000
3222002122100110
4310322012220
512022310410
61213134320
7225613542
oct64720650
928078313
1013869480
117913389
12478a3a0
132b47bc1
141bb0692
15133e720
hexd3a1a8

13869480 has 64 divisors (see below), whose sum is σ = 42638400. Its totient is φ = 3607040.

The previous prime is 13869461. The next prime is 13869481. The reversal of 13869480 is 8496831.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13869481) by changing a digit.

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, 3511 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (666225).

Almost surely, 213869480 is an apocalyptic number.

13869480 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 13869480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319200).

13869480 is an abundant number, since it is smaller than the sum of its proper divisors (28768920).

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

13869480 is a wasteful number, since it uses less digits than its factorization.

13869480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 13869480 is about 3724.1750764431. The cubic root of 13869480 is about 240.2629063403.

The spelling of 13869480 in words is "thirteen million, eight hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2819 4920 5638 8457 11276 14095 16914 22552 28190 33828 42285 56380 67656 84570 112760 115579 169140 231158 338280 346737 462316 577895 693474 924632 1155790 1386948 1733685 2311580 2773896 3467370 4623160 6934740 13869480