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132906228 = 223721317387
BaseRepresentation
bin1111110101111…
…11110011110100
3100021002100001220
413322333303310
5233010444403
621104350340
73202453500
oct772776364
9307070056
10132906228
1169027464
12386153b0
13216c5550
1413919300
15ba04953
hex7ebfcf4

132906228 has 72 divisors (see below), whose sum is σ = 388517472. Its totient is φ = 35050176.

The previous prime is 132906223. The next prime is 132906233. The reversal of 132906228 is 822609231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132906223) and next prime (132906233).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132906223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (5396076).

Almost surely, 2132906228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132906228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194258736).

132906228 is an abundant number, since it is smaller than the sum of its proper divisors (255611244).

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

132906228 is a wasteful number, since it uses less digits than its factorization.

132906228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17421 (or 17412 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 132906228 is about 11528.4963460115. The cubic root of 132906228 is about 510.3268800253.

The spelling of 132906228 in words is "one hundred thirty-two million, nine hundred six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 17387 34774 52161 69548 104322 121709 208644 226031 243418 365127 452062 486836 678093 730254 851963 904124 1356186 1460508 1582217 1703926 2555889 2712372 3164434 3407852 4746651 5111778 6328868 9493302 10223556 11075519 18986604 22151038 33226557 44302076 66453114 132906228