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132778828 = 22721331412
BaseRepresentation
bin1111110101000…
…00101101001100
3100020211212022101
413322200231030
5232442410303
621101524444
73201413200
oct772405514
9306755271
10132778828
1168a4a776
1238573724
132167c570
14138c4b00
15b9cbd1d
hex7ea0b4c

132778828 has 108 divisors (see below), whose sum is σ = 307989696. Its totient is φ = 49593600.

The previous prime is 132778819. The next prime is 132778831. The reversal of 132778828 is 828877231.

132778828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3238488 + ... + 3238528.

Almost surely, 2132778828 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 132778828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153994848).

132778828 is an abundant number, since it is smaller than the sum of its proper divisors (175210868).

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

132778828 is a wasteful number, since it uses less digits than its factorization.

132778828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its digits is 301056, while the sum is 46.

The square root of 132778828 is about 11522.9695825338. The cubic root of 132778828 is about 510.1637664512.

The spelling of 132778828 in words is "one hundred thirty-two million, seven hundred seventy-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 41 49 52 62 82 91 98 124 164 182 196 217 287 364 403 434 533 574 637 806 868 1066 1148 1271 1274 1519 1612 1681 2009 2132 2542 2548 2821 3038 3362 3731 4018 5084 5642 6076 6724 7462 8036 8897 11284 11767 14924 16523 17794 19747 21853 23534 26117 33046 35588 39494 43706 47068 52111 52234 62279 66092 78988 82369 87412 104222 104468 115661 124558 152971 164738 208444 231322 249116 305942 329476 364777 462644 611884 677443 729554 809627 1070797 1354886 1459108 1619254 2141594 2553439 2709772 3238508 4283188 4742101 5106878 9484202 10213756 18968404 33194707 66389414 132778828