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1328005692 = 223513105097
BaseRepresentation
bin100111100100111…
…1100001000111100
310102112212200100000
41033021330020330
510204432140232
6335435434300
744623601466
oct11711741074
93375780300
101328005692
11621696372
123108b5990
131821922b0
14c8531136
157b8c327c
hex4f27c23c

1328005692 has 72 divisors (see below), whose sum is σ = 3749055856. Its totient is φ = 408613248.

The previous prime is 1328005691. The next prime is 1328005699. The reversal of 1328005692 is 2965008231.

1328005692 is a `hidden beast` number, since 13 + 2 + 80 + 0 + 569 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328005691) 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, 39913 + ... + 65184.

Almost surely, 21328005692 is an apocalyptic number.

1328005692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1328005692 is an abundant number, since it is smaller than the sum of its proper divisors (2421050164).

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

1328005692 is a wasteful number, since it uses less digits than its factorization.

1328005692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105129 (or 105115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1328005692 is about 36441.8124137645. The cubic root of 1328005692 is about 1099.1745024215.

The spelling of 1328005692 in words is "one billion, three hundred twenty-eight million, five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 105097 210194 315291 420388 630582 945873 1261164 1366261 1891746 2732522 2837619 3783492 4098783 5465044 5675238 8197566 8512857 11350476 12296349 16395132 17025714 24592698 25538571 34051428 36889047 49185396 51077142 73778094 102154284 110667141 147556188 221334282 332001423 442668564 664002846 1328005692