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106828760 = 2352670719
BaseRepresentation
bin1100101111000…
…01001111011000
321110000110111202
412113201033120
5204322010020
614333413332
72435013053
oct627411730
9243013452
10106828760
1155336035
122b93a248
1319194aac
141028ba9a
1595a2e75
hex65e13d8

106828760 has 16 divisors (see below), whose sum is σ = 240364800. Its totient is φ = 42731488.

The previous prime is 106828741. The next prime is 106828817. The reversal of 106828760 is 67828601.

It is a super-2 number, since 2×1068287602 = 22824767926275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1335320 + ... + 1335399.

It is an arithmetic number, because the mean of its divisors is an integer number (15022800).

Almost surely, 2106828760 is an apocalyptic number.

106828760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106828760 is an abundant number, since it is smaller than the sum of its proper divisors (133536040).

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

106828760 is a wasteful number, since it uses less digits than its factorization.

106828760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670730 (or 2670726 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 106828760 is about 10335.7999206641. The cubic root of 106828760 is about 474.4925476372.

The spelling of 106828760 in words is "one hundred six million, eight hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2670719 5341438 10682876 13353595 21365752 26707190 53414380 106828760