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132600480 = 2535276251
BaseRepresentation
bin1111110011101…
…01001010100000
3100020111210122220
413321311022200
5232421203410
621054031040
73200041215
oct771651240
9306453586
10132600480
1168938781
12384a8480
132161932c
1413879b0c
15b994070
hex7e752a0

132600480 has 48 divisors (see below), whose sum is σ = 417693024. Its totient is φ = 35360000.

The previous prime is 132600443. The next prime is 132600491. The reversal of 132600480 is 84006231.

It is a happy number.

132600480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132600480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137646 + ... + 138605.

It is an arithmetic number, because the mean of its divisors is an integer number (8701938).

Almost surely, 2132600480 is an apocalyptic number.

132600480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132600480 is an abundant number, since it is smaller than the sum of its proper divisors (285092544).

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

132600480 is a wasteful number, since it uses less digits than its factorization.

132600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276269 (or 276261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132600480 is about 11515.2281783732. The cubic root of 132600480 is about 509.9352474499.

The spelling of 132600480 in words is "one hundred thirty-two million, six hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 276251 552502 828753 1105004 1381255 1657506 2210008 2762510 3315012 4143765 4420016 5525020 6630024 8287530 8840032 11050040 13260048 16575060 22100080 26520096 33150120 44200160 66300240 132600480