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132050576 = 2473173521
BaseRepresentation
bin1111101111011…
…10111010010000
3100012110212100002
413313232322100
5232301104301
621034145132
73162261050
oct767567220
9305425302
10132050576
11685a2609
12382821a8
1321485c48
1413775560
15b8d616b
hex7deee90

132050576 has 80 divisors (see below), whose sum is σ = 306551808. Its totient is φ = 53913600.

The previous prime is 132050563. The next prime is 132050591. The reversal of 132050576 is 675050231.

It is a congruent number.

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, 253196 + ... + 253716.

Almost surely, 2132050576 is an apocalyptic number.

132050576 is a gapful number since it is divisible by the number (16) 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 132050576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153275904).

132050576 is an abundant number, since it is smaller than the sum of its proper divisors (174501232).

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

132050576 is a wasteful number, since it uses less digits than its factorization.

132050576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 132050576 is about 11491.3261201656. The cubic root of 132050576 is about 509.2293576914.

The spelling of 132050576 in words is "one hundred thirty-two million, fifty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 73 112 124 146 217 248 292 434 496 511 521 584 868 1022 1042 1168 1736 2044 2084 2263 3472 3647 4088 4168 4526 7294 8176 8336 9052 14588 15841 16151 18104 29176 31682 32302 36208 38033 58352 63364 64604 76066 113057 126728 129208 152132 226114 253456 258416 266231 304264 452228 532462 608528 904456 1064924 1179023 1808912 2129848 2358046 4259696 4716092 8253161 9432184 16506322 18864368 33012644 66025288 132050576