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106936840 = 2353377933
BaseRepresentation
bin1100101111110…
…11101000001000
321110012221202201
412113323220020
5204333434330
614340005544
72435643133
oct627735010
9243187681
10106936840
11553aa25a
122b9908b4
131920204a
14102b921a
1595c4eca
hex65fba08

106936840 has 32 divisors (see below), whose sum is σ = 241352280. Its totient is φ = 42642432.

The previous prime is 106936831. The next prime is 106936873. The reversal of 106936840 is 48639601.

It can be written as a sum of positive squares in 4 ways, for example, as 63138916 + 43797924 = 7946^2 + 6618^2 .

It is a super-2 number, since 2×1069368402 = 22870975498371200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106936840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9514 + ... + 17446.

Almost surely, 2106936840 is an apocalyptic number.

106936840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106936840 is an abundant number, since it is smaller than the sum of its proper divisors (134415440).

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

106936840 is a wasteful number, since it uses less digits than its factorization.

106936840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 106936840 is about 10341.0270282985. The cubic root of 106936840 is about 474.6525103965.

The spelling of 106936840 in words is "one hundred six million, nine hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 7933 13480 15866 31732 39665 63464 79330 158660 317320 2673421 5346842 10693684 13367105 21387368 26734210 53468420 106936840