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132030054 = 23313316067
BaseRepresentation
bin1111101111010…
…01111001100110
3100012102211012000
413313221321212
5232244430204
621033510130
73162144162
oct767517146
9305384160
10132030054
1168589152
1238272346
13214797c0
141376bca2
15b8d0039
hex7de9e66

132030054 has 64 divisors (see below), whose sum is σ = 326215680. Its totient is φ = 39307680.

The previous prime is 132030043. The next prime is 132030077. The reversal of 132030054 is 450030231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18729 + ... + 24795.

It is an arithmetic number, because the mean of its divisors is an integer number (5097120).

Almost surely, 2132030054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132030054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163107840).

132030054 is an abundant number, since it is smaller than the sum of its proper divisors (194185626).

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

132030054 is a wasteful number, since it uses less digits than its factorization.

132030054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 132030054 is about 11490.4331511044. The cubic root of 132030054 is about 509.2029765209.

Adding to 132030054 its reverse (450030231), we get a palindrome (582060285).

The spelling of 132030054 in words is "one hundred thirty-two million, thirty thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 6067 7254 10881 12134 18201 21762 36402 54603 78871 109206 157742 163809 188077 236613 327618 376154 473226 564231 709839 1128462 1419678 1692693 2129517 2445001 3385386 4259034 4890002 5078079 7335003 10156158 14670006 22005009 44010018 66015027 132030054