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120827472 = 2432517239
BaseRepresentation
bin1110011001110…
…10111001010000
322102100200010120
413030322321100
5221412434342
615553430240
72665005453
oct714727120
9272320116
10120827472
1162227517
123456b380
131c05675c
141209349a
15a91aaec
hex733ae50

120827472 has 20 divisors (see below), whose sum is σ = 312137760. Its totient is φ = 40275808.

The previous prime is 120827461. The next prime is 120827477. The reversal of 120827472 is 274728021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120827477) 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, 1258572 + ... + 1258667.

It is an arithmetic number, because the mean of its divisors is an integer number (15606888).

Almost surely, 2120827472 is an apocalyptic number.

120827472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120827472 is an abundant number, since it is smaller than the sum of its proper divisors (191310288).

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

120827472 is a wasteful number, since it uses less digits than its factorization.

120827472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517250 (or 2517244 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 120827472 is about 10992.1550207409. The cubic root of 120827472 is about 494.3735530097.

It can be divided in two parts, 1208 and 27472, that added together give a triangular number (28680 = T239).

The spelling of 120827472 in words is "one hundred twenty million, eight hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2517239 5034478 7551717 10068956 15103434 20137912 30206868 40275824 60413736 120827472