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132095448 = 23341910729
BaseRepresentation
bin1111101111110…
…01110111011000
3100012120010220000
413313321313120
5232304023243
621035133000
73162535632
oct767716730
9305503800
10132095448
11686232a1
12382a4160
13214a04b4
1413787a52
15b8e45d3
hex7df9dd8

132095448 has 80 divisors (see below), whose sum is σ = 389499000. Its totient is φ = 41710464.

The previous prime is 132095443. The next prime is 132095461. The reversal of 132095448 is 844590231.

132095448 is a `hidden beast` number, since 1 + 3 + 209 + 5 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132095443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6948 + ... + 17676.

Almost surely, 2132095448 is an apocalyptic number.

132095448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132095448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194749500).

132095448 is an abundant number, since it is smaller than the sum of its proper divisors (257403552).

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

132095448 is a wasteful number, since it uses less digits than its factorization.

132095448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 132095448 is about 11493.2783834727. The cubic root of 132095448 is about 509.2870314320.

The spelling of 132095448 in words is "one hundred thirty-two million, ninety-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 10729 12312 21458 32187 42916 64374 85832 96561 128748 193122 203851 257496 289683 386244 407702 579366 611553 772488 815404 869049 1158732 1223106 1630808 1738098 1834659 2317464 2446212 3476196 3669318 4892424 5503977 6952392 7338636 11007954 14677272 16511931 22015908 33023862 44031816 66047724 132095448