Search a number
-
+
162240144 = 24311307273
BaseRepresentation
bin10011010101110…
…01011010010000
3102022021122122020
421222321122100
5313013141034
624033211440
74010006223
oct1152713220
9368248566
10162240144
1183642470
1246400b80
13277c62b1
14177935ba
15e39b249
hex9ab9690

162240144 has 40 divisors (see below), whose sum is σ = 457223712. Its totient is φ = 49163520.

The previous prime is 162240139. The next prime is 162240149. The reversal of 162240144 is 441042261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (162240139) and next prime (162240149).

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

It is not an unprimeable number, because it can be changed into a prime (162240149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 153109 + ... + 154164.

Almost surely, 2162240144 is an apocalyptic number.

It is an amenable number.

162240144 is an abundant number, since it is smaller than the sum of its proper divisors (294983568).

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

162240144 is a wasteful number, since it uses less digits than its factorization.

162240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307295 (or 307289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 162240144 is about 12737.3523151399. The cubic root of 162240144 is about 545.4054094324.

The spelling of 162240144 in words is "one hundred sixty-two million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 307273 614546 921819 1229092 1843638 2458184 3380003 3687276 4916368 6760006 7374552 10140009 13520012 14749104 20280018 27040024 40560036 54080048 81120072 162240144