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132906396 = 22376532423
BaseRepresentation
bin1111110101111…
…11110110011100
3100021002100022010
413322333312130
5233011001041
621104351220
73202454130
oct772776634
9307070263
10132906396
11690275a7
1238615510
13216c564c
14139193c0
15ba04a16
hex7ebfd9c

132906396 has 48 divisors (see below), whose sum is σ = 355106304. Its totient is φ = 37899456.

The previous prime is 132906383. The next prime is 132906407. The reversal of 132906396 is 693609231.

It is a super-2 number, since 2×1329063962 = 35328220195417632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53641 + ... + 56063.

It is an arithmetic number, because the mean of its divisors is an integer number (7398048).

Almost surely, 2132906396 is an apocalyptic number.

It is an amenable number.

132906396 is an abundant number, since it is smaller than the sum of its proper divisors (222199908).

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

132906396 is a wasteful number, since it uses less digits than its factorization.

132906396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 132906396 is about 11528.5036323020. The cubic root of 132906396 is about 510.3270950513.

The spelling of 132906396 in words is "one hundred thirty-two million, nine hundred six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 653 1306 1959 2423 2612 3918 4571 4846 7269 7836 9142 9692 13713 14538 16961 18284 27426 29076 33922 50883 54852 67844 101766 203532 1582219 3164438 4746657 6328876 9493314 11075533 18986628 22151066 33226599 44302132 66453198 132906396