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132360030 = 232511133697
BaseRepresentation
bin1111110001110…
…10011101011110
3100020001120211100
413320322131132
5232341010110
621044533530
73165020205
oct770723536
9306046740
10132360030
1168794060
12383b12a6
1321563a5a
141381623c
15b947bc0
hex7e3a75e

132360030 has 48 divisors (see below), whose sum is σ = 375423984. Its totient is φ = 32087040.

The previous prime is 132360029. The next prime is 132360071. The reversal of 132360030 is 30063231.

It is a happy number.

132360030 is a `hidden beast` number, since 1 + 32 + 3 + 600 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132359985 and 132360012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65859 + ... + 67838.

It is an arithmetic number, because the mean of its divisors is an integer number (7821333).

Almost surely, 2132360030 is an apocalyptic number.

132360030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132360030 is an abundant number, since it is smaller than the sum of its proper divisors (243063954).

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

132360030 is a wasteful number, since it uses less digits than its factorization.

132360030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133721 (or 133718 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132360030 is about 11504.7829184214. The cubic root of 132360030 is about 509.6268319784.

The spelling of 132360030 in words is "one hundred thirty-two million, three hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 133697 267394 401091 668485 802182 1203273 1336970 1470667 2005455 2406546 2941334 4010910 4412001 6016365 7353335 8824002 12032730 13236003 14706670 22060005 26472006 44120010 66180015 132360030