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132444104 = 23134189349
BaseRepresentation
bin1111110010011…
…10111111001000
3100020012212011012
413321032333020
5232401202404
621050423052
73165520262
oct771167710
9306185135
10132444104
1168841241
1238431a88
13215930c0
1413838b32
15b962a6e
hex7e4efc8

132444104 has 64 divisors (see below), whose sum is σ = 277830000. Its totient is φ = 58798080.

The previous prime is 132444083. The next prime is 132444113. The reversal of 132444104 is 401444231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9012004 + 123432100 = 3002^2 + 11110^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132444104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379322 + ... + 379670.

Almost surely, 2132444104 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 132444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915000).

132444104 is an abundant number, since it is smaller than the sum of its proper divisors (145385896).

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

132444104 is a wasteful number, since it uses less digits than its factorization.

132444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 132444104 is about 11508.4362100157. The cubic root of 132444104 is about 509.7347127276.

Adding to 132444104 its reverse (401444231), we get a palindrome (533888335).

The spelling of 132444104 in words is "one hundred thirty-two million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 41 52 82 89 104 164 178 328 349 356 533 698 712 1066 1157 1396 2132 2314 2792 3649 4264 4537 4628 7298 9074 9256 14309 14596 18148 28618 29192 31061 36296 47437 57236 62122 94874 114472 124244 186017 189748 248488 372034 379496 403793 744068 807586 1273501 1488136 1615172 2547002 3230344 5094004 10188008 16555513 33111026 66222052 132444104