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12190480 = 245152381
BaseRepresentation
bin101110100000…
…001100010000
3211221100012021
4232200030100
511110043410
61113141224
7205421521
oct56401420
924840167
1012190480
116976985
1240ba814
1326aa903
141894848
15110beda
hexba0310

12190480 has 20 divisors (see below), whose sum is σ = 28343052. Its totient is φ = 4876160.

The previous prime is 12190463. The next prime is 12190481. The reversal of 12190480 is 8409121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 8317456 = 1968^2 + 2884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12190481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76111 + ... + 76270.

Almost surely, 212190480 is an apocalyptic number.

12190480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12190480 is an abundant number, since it is smaller than the sum of its proper divisors (16152572).

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

12190480 is a wasteful number, since it uses less digits than its factorization.

12190480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152394 (or 152388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12190480 is about 3491.4867893206. The cubic root of 12190480 is about 230.1478570396.

It can be divided in two parts, 121 and 90480, that added together give a square (90601 = 3012).

The spelling of 12190480 in words is "twelve million, one hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152381 304762 609524 761905 1219048 1523810 2438096 3047620 6095240 12190480