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27122640 = 2435113011
BaseRepresentation
bin110011101110…
…1101111010000
31220000222021020
41213131233100
523420411030
62405155440
7446352516
oct147355720
956028236
1027122640
1114345706
1290bbb80
1358083cc
1438604b6
1525ab510
hex19ddbd0

27122640 has 40 divisors (see below), whose sum is σ = 84080928. Its totient is φ = 7232640.

The previous prime is 27122629. The next prime is 27122659. The reversal of 27122640 is 4622172.

It is a tau number, because it is divible by the number of its divisors (40).

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 27122640.

It is a congruent number.

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, 56266 + ... + 56745.

Almost surely, 227122640 is an apocalyptic number.

27122640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27122640 is an abundant number, since it is smaller than the sum of its proper divisors (56958288).

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

27122640 is a wasteful number, since it uses less digits than its factorization.

27122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113027 (or 113021 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27122640 is about 5207.9400918213. The cubic root of 27122640 is about 300.4535362263.

The spelling of 27122640 in words is "twenty-seven million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 113011 226022 339033 452044 565055 678066 904088 1130110 1356132 1695165 1808176 2260220 2712264 3390330 4520440 5424528 6780660 9040880 13561320 27122640