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132194448 = 24321754001
BaseRepresentation
bin1111110000100…
…10000010010000
3100012202011200200
413320102002100
5232320210243
621041215200
73163430361
oct770220220
9305664620
10132194448
1168690711
1238331500
1321506589
14137b1b68
15b913ad3
hex7e12090

132194448 has 60 divisors (see below), whose sum is σ = 391730508. Its totient is φ = 41472000.

The previous prime is 132194443. The next prime is 132194453. The reversal of 132194448 is 844491231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132194443) and next prime (132194453).

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 66389904 = 8112^2 + 8148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132194443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24553 + ... + 29448.

Almost surely, 2132194448 is an apocalyptic number.

132194448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132194448 is an abundant number, since it is smaller than the sum of its proper divisors (259536060).

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

132194448 is a wasteful number, since it uses less digits than its factorization.

132194448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54032 (or 54023 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 132194448 is about 11497.5844419600. The cubic root of 132194448 is about 509.4142294200.

The spelling of 132194448 in words is "one hundred thirty-two million, one hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 54001 108002 162003 216004 324006 432008 486009 648012 864016 918017 972018 1296024 1836034 1944036 2592048 2754051 3672068 3888072 5508102 7344136 7776144 8262153 11016204 14688272 16524306 22032408 33048612 44064816 66097224 132194448