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132144048 = 2434101963
BaseRepresentation
bin1111110000001…
…01101110110000
3100012122121120000
413320011232300
5232312102143
621040150000
73163130421
oct770055660
9305577500
10132144048
1168656863
1238308300
13214b965a
141379b648
15b903bd3
hex7e05bb0

132144048 has 50 divisors (see below), whose sum is σ = 382466964. Its totient is φ = 44047584.

The previous prime is 132144029. The next prime is 132144059. The reversal of 132144048 is 840441231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49686 + ... + 52277.

Almost surely, 2132144048 is an apocalyptic number.

132144048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132144048 is an abundant number, since it is smaller than the sum of its proper divisors (250322916).

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

132144048 is a wasteful number, since it uses less digits than its factorization.

132144048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101983 (or 101968 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 132144048 is about 11495.3924682892. The cubic root of 132144048 is about 509.3494820192.

Adding to 132144048 its reverse (840441231), we get a palindrome (972585279).

It can be divided in two parts, 1321 and 44048, that added together give a square (45369 = 2132).

The spelling of 132144048 in words is "one hundred thirty-two million, one hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 101963 203926 305889 407852 611778 815704 917667 1223556 1631408 1835334 2447112 2753001 3670668 4894224 5506002 7341336 8259003 11012004 14682672 16518006 22024008 33036012 44048016 66072024 132144048