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12693480 = 2335139761
BaseRepresentation
bin110000011010…
…111111101000
3212212220011220
4300122333220
511222142410
61132022040
7212615142
oct60327750
925786156
1012693480
11718a888
124301920
132825847
141985c92
1511ab070
hexc1afe8

12693480 has 64 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 3356160.

The previous prime is 12693469. The next prime is 12693491. The reversal of 12693480 is 8439621.

It is an interprime number because it is at equal distance from previous prime (12693469) and next prime (12693491).

It is a super-2 number, since 2×126934802 = 322248869020800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16300 + ... + 17060.

It is an arithmetic number, because the mean of its divisors is an integer number (600075).

Almost surely, 212693480 is an apocalyptic number.

12693480 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 12693480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

12693480 is an abundant number, since it is smaller than the sum of its proper divisors (25711320).

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

12693480 is a wasteful number, since it uses less digits than its factorization.

12693480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12693480 is about 3562.7910407432. The cubic root of 12693480 is about 233.2707224300.

The spelling of 12693480 in words is "twelve million, six hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 761 834 1112 1390 1522 1668 2085 2283 2780 3044 3336 3805 4170 4566 5560 6088 7610 8340 9132 11415 15220 16680 18264 22830 30440 45660 91320 105779 211558 317337 423116 528895 634674 846232 1057790 1269348 1586685 2115580 2538696 3173370 4231160 6346740 12693480