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132812416 = 271194327
BaseRepresentation
bin1111110101010…
…00111010000000
3100020220120101101
413322220322000
5232444444131
621102344144
73201613132
oct772507200
9306816341
10132812416
1168a72a30
123858b054
1321691939
14138d3052
15b9d6c61
hex7ea8e80

132812416 has 32 divisors (see below), whose sum is σ = 288643680. Its totient is φ = 60368640.

The previous prime is 132812377. The next prime is 132812429. The reversal of 132812416 is 614218231.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 45756 + ... + 48571.

It is an arithmetic number, because the mean of its divisors is an integer number (9020115).

Almost surely, 2132812416 is an apocalyptic number.

132812416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132812416 is an abundant number, since it is smaller than the sum of its proper divisors (155831264).

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

132812416 is an equidigital number, since it uses as much as digits as its factorization.

132812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94352 (or 94340 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 132812416 is about 11524.4269271838. The cubic root of 132812416 is about 510.2067801760.

The spelling of 132812416 in words is "one hundred thirty-two million, eight hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 94327 188654 377308 754616 1037597 1509232 2075194 3018464 4150388 6036928 8300776 12073856 16601552 33203104 66406208 132812416