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162113040 = 24325225157
BaseRepresentation
bin10011010100110…
…10011000010000
3102022001012021200
421222122120100
5313000104130
624030351200
74005636525
oct1152323020
9368035250
10162113040
1183565a21
124635b500
132778049b
141775d14c
15e373760
hex9a9a610

162113040 has 60 divisors (see below), whose sum is σ = 544432044. Its totient is φ = 43229952.

The previous prime is 162113033. The next prime is 162113041. The reversal of 162113040 is 40311261.

It is a happy number.

162113040 is a `hidden beast` number, since 1 + 621 + 1 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59536656 + 102576384 = 7716^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (162113041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111859 + ... + 113298.

Almost surely, 2162113040 is an apocalyptic number.

162113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162113040 is an abundant number, since it is smaller than the sum of its proper divisors (382319004).

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

162113040 is a wasteful number, since it uses less digits than its factorization.

162113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225176 (or 225167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 162113040 is about 12732.3619175705. The cubic root of 162113040 is about 545.2629430065.

The spelling of 162113040 in words is "one hundred sixty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 225157 450314 675471 900628 1125785 1350942 1801256 2026413 2251570 2701884 3377355 3602512 4052826 4503140 5403768 6754710 8105652 9006280 10132065 10807536 13509420 16211304 18012560 20264130 27018840 32422608 40528260 54037680 81056520 162113040