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106491312 = 2432739523
BaseRepresentation
bin1100101100011…
…10110110110000
321102101022121200
412112032312300
5204230210222
614322251200
72432106204
oct626166660
9242338550
10106491312
1155125554
122b7b6b00
13190a7315
1410200b04
159537eac
hex658edb0

106491312 has 30 divisors (see below), whose sum is σ = 298028172. Its totient is φ = 35497056.

The previous prime is 106491271. The next prime is 106491337. The reversal of 106491312 is 213194601.

106491312 is a `hidden beast` number, since 1 + 0 + 649 + 1 + 3 + 12 = 666.

It is a super-2 number, since 2×1064913122 = 22680799062962688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369618 + ... + 369905.

Almost surely, 2106491312 is an apocalyptic number.

106491312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106491312 is an abundant number, since it is smaller than the sum of its proper divisors (191536860).

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

106491312 is a wasteful number, since it uses less digits than its factorization.

106491312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739537 (or 739528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106491312 is about 10319.4627767147. The cubic root of 106491312 is about 473.9924156240.

The spelling of 106491312 in words is "one hundred six million, four hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 739523 1479046 2218569 2958092 4437138 5916184 6655707 8874276 11832368 13311414 17748552 26622828 35497104 53245656 106491312