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144972 = 22324027
BaseRepresentation
bin100011011001001100
321100212100
4203121030
514114342
63035100
71142442
oct433114
9240770
10144972
1199a13
126ba90
1350ca9
143ab92
152ce4c
hex2364c

144972 has 18 divisors (see below), whose sum is σ = 366548. Its totient is φ = 48312.

The previous prime is 144967. The next prime is 144973. The reversal of 144972 is 279441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

144972 is a modest number, since divided by 972 gives 144 as remainder.

It is not an unprimeable number, because it can be changed into a prime (144973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1978 + ... + 2049.

2144972 is an apocalyptic number.

144972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144972 is an abundant number, since it is smaller than the sum of its proper divisors (221576).

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

144972 is a wasteful number, since it uses less digits than its factorization.

144972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4032 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 144972 is about 380.7518877169. The cubic root of 144972 is about 52.5324968875.

It can be divided in two parts, 1449 and 72, that added together give a square (1521 = 392).

The spelling of 144972 in words is "one hundred forty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 4027 8054 12081 16108 24162 36243 48324 72486 144972