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132150330 = 232513179631
BaseRepresentation
bin1111110000001…
…11010000111010
3100012122221011200
413320013100322
5232312302310
621040235030
73163154634
oct770072072
9305587150
10132150330
1168660554
123830ba76
13214bc480
141379da54
15b9059c0
hex7e0743a

132150330 has 96 divisors (see below), whose sum is σ = 372677760. Its totient is φ = 32296320.

The previous prime is 132150313. The next prime is 132150349. The reversal of 132150330 is 33051231.

132150330 is a `hidden beast` number, since 132 + 1 + 503 + 30 = 666.

132150330 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209115 + ... + 209745.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2132150330 is an apocalyptic number.

132150330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132150330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

132150330 is an abundant number, since it is smaller than the sum of its proper divisors (240527430).

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

132150330 is a wasteful number, since it uses less digits than its factorization.

132150330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 132150330 is about 11495.6657049516. The cubic root of 132150330 is about 509.3575532183.

Subtracting from 132150330 its reverse (33051231), we obtain a palindrome (99099099).

The spelling of 132150330 in words is "one hundred thirty-two million, one hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 179 195 234 358 390 537 585 631 895 1074 1170 1262 1611 1790 1893 2327 2685 3155 3222 3786 4654 5370 5679 6310 6981 8055 8203 9465 11358 11635 13962 16110 16406 18930 20943 23270 24609 28395 34905 41015 41886 49218 56790 69810 73827 82030 104715 112949 123045 147654 209430 225898 246090 338847 369135 564745 677694 738270 1016541 1129490 1468337 1694235 2033082 2936674 3388470 4405011 5082705 7341685 8810022 10165410 13215033 14683370 22025055 26430066 44050110 66075165 132150330