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132181830 = 232511315973
BaseRepresentation
bin1111110000011…
…10111101000110
3100012201112101100
413320032331012
5232314304310
621041040530
73163345524
oct770167506
9305645340
10132181830
1168682190
1238326146
1321500901
14137ab314
15b90eec0
hex7e0ef46

132181830 has 192 divisors, whose sum is σ = 398960640. Its totient is φ = 30067200.

The previous prime is 132181801. The next prime is 132181837. The reversal of 132181830 is 38181231.

It is a junction number, because it is equal to n+sod(n) for n = 132181794 and 132181803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132181837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1810674 + ... + 1810746.

It is an arithmetic number, because the mean of its divisors is an integer number (2077920).

Almost surely, 2132181830 is an apocalyptic number.

132181830 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 132181830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480320).

132181830 is an abundant number, since it is smaller than the sum of its proper divisors (266778810).

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

132181830 is a wasteful number, since it uses less digits than its factorization.

132181830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 132181830 is about 11497.0357049111. The cubic root of 132181830 is about 509.3980209902.

The spelling of 132181830 in words is "one hundred thirty-two million, one hundred eighty-one thousand, eight hundred thirty".