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132123048 = 23317714561
BaseRepresentation
bin1111110000000…
…00100110101000
3100012121112202020
413320000212220
5232310414143
621035504440
73163012251
oct770004650
9305545666
10132123048
1168642002
12382b8120
13214acc25
1413793b28
15b8ec883
hex7e009a8

132123048 has 64 divisors (see below), whose sum is σ = 354741120. Its totient is φ = 40857600.

The previous prime is 132123001. The next prime is 132123059. The reversal of 132123048 is 840321231.

132123048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26688 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (5542830).

Almost surely, 2132123048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132123048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177370560).

132123048 is an abundant number, since it is smaller than the sum of its proper divisors (222618072).

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

132123048 is a wasteful number, since it uses less digits than its factorization.

132123048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132123048 is about 11494.4790225569. The cubic root of 132123048 is about 509.3224990766.

Adding to 132123048 its reverse (840321231), we get a palindrome (972444279).

The spelling of 132123048 in words is "one hundred thirty-two million, one hundred twenty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4561 4828 7242 9122 9656 13683 14484 18244 27366 28968 36488 54732 77537 109464 155074 232611 310148 323831 465222 620296 647662 930444 971493 1295324 1860888 1942986 2590648 3885972 5505127 7771944 11010254 16515381 22020508 33030762 44041016 66061524 132123048