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13861296 = 243296259
BaseRepresentation
bin110100111000…
…000110110000
3222002020010100
4310320012300
512022030141
61213032400
7225550641
oct64700660
928066110
1013861296
117908219
124785700
132b44267
141bab6c8
15133c0b6
hexd381b0

13861296 has 30 divisors (see below), whose sum is σ = 38792780. Its totient is φ = 4620384.

The previous prime is 13861229. The next prime is 13861303. The reversal of 13861296 is 69216831.

13861296 is a `hidden beast` number, since 1 + 38 + 612 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13861296.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47986 + ... + 48273.

Almost surely, 213861296 is an apocalyptic number.

13861296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13861296 is an abundant number, since it is smaller than the sum of its proper divisors (24931484).

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

13861296 is a wasteful number, since it uses less digits than its factorization.

13861296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96273 (or 96264 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13861296 is about 3723.0761474888. The cubic root of 13861296 is about 240.2156395236.

The spelling of 13861296 in words is "thirteen million, eight hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 96259 192518 288777 385036 577554 770072 866331 1155108 1540144 1732662 2310216 3465324 4620432 6930648 13861296