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132030120 = 23352347837
BaseRepresentation
bin1111101111010…
…01111010101000
3100012102211021110
413313221322220
5232244430440
621033510320
73162144315
oct767517250
9305384243
10132030120
1168589202
12382723a0
1321479841
141376bd0c
15b8d0080
hex7de9ea8

132030120 has 64 divisors (see below), whose sum is σ = 413320320. Its totient is φ = 33676544.

The previous prime is 132030103. The next prime is 132030121. The reversal of 132030120 is 21030231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132030096 and 132030105.

It is not an unprimeable number, because it can be changed into a prime (132030121) by changing a digit.

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, 21159 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (6458130).

Almost surely, 2132030120 is an apocalyptic number.

132030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132030120 is an abundant number, since it is smaller than the sum of its proper divisors (281290200).

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

132030120 is a wasteful number, since it uses less digits than its factorization.

132030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47874 (or 47870 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132030120 is about 11490.4360230585. The cubic root of 132030120 is about 509.2030613688.

Adding to 132030120 its reverse (21030231), we get a palindrome (153060351).

The spelling of 132030120 in words is "one hundred thirty-two million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 47837 95674 143511 191348 239185 287022 382696 478370 574044 717555 956740 1100251 1148088 1435110 1913480 2200502 2870220 3300753 4401004 5501255 5740440 6601506 8802008 11002510 13203012 16503765 22005020 26406024 33007530 44010040 66015060 132030120