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132950430 = 2335492409
BaseRepresentation
bin1111110110010…
…10100110011110
3100021011120201000
413323022212132
5233013403210
621105331130
73203026404
oct773124636
9307146630
10132950430
1169057698
1238636aa6
132170c6c2
141392b474
15ba12ac0
hex7eca99e

132950430 has 32 divisors (see below), whose sum is σ = 354535200. Its totient is φ = 35453376.

The previous prime is 132950399. The next prime is 132950437. The reversal of 132950430 is 34059231.

It is a super-3 number, since 3×1329504303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132950394 and 132950403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132950437) 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, 245935 + ... + 246474.

It is an arithmetic number, because the mean of its divisors is an integer number (11079225).

Almost surely, 2132950430 is an apocalyptic number.

132950430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132950430 is an abundant number, since it is smaller than the sum of its proper divisors (221584770).

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

132950430 is a wasteful number, since it uses less digits than its factorization.

132950430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492425 (or 492419 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132950430 is about 11530.4132623250. The cubic root of 132950430 is about 510.3834486522.

The spelling of 132950430 in words is "one hundred thirty-two million, nine hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 492409 984818 1477227 2462045 2954454 4431681 4924090 7386135 8863362 13295043 14772270 22158405 26590086 44316810 66475215 132950430