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106496264 = 2371901719
BaseRepresentation
bin1100101100100…
…00000100001000
321102101120102002
412112100010020
5204230340024
614322330132
72432126510
oct626200410
9242346362
10106496264
1155129246
122b7b9948
13190a9654
1410202840
1595396ae
hex6590108

106496264 has 16 divisors (see below), whose sum is σ = 228206400. Its totient is φ = 45641232.

The previous prime is 106496263. The next prime is 106496267. The reversal of 106496264 is 462694601.

It is a happy number.

It is a super-2 number, since 2×1064962642 = 22682908491915392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106496263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950804 + ... + 950915.

It is an arithmetic number, because the mean of its divisors is an integer number (14262900).

Almost surely, 2106496264 is an apocalyptic number.

106496264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106496264 is an abundant number, since it is smaller than the sum of its proper divisors (121710136).

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

106496264 is a wasteful number, since it uses less digits than its factorization.

106496264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901732 (or 1901728 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 106496264 is about 10319.7027088962. The cubic root of 106496264 is about 473.9997626210. Note that the first 3 decimals are identical.

The spelling of 106496264 in words is "one hundred six million, four hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1901719 3803438 7606876 13312033 15213752 26624066 53248132 106496264