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106757232 = 24313671627
BaseRepresentation
bin1100101110011…
…11110001110000
321102212211101120
412113033301300
5204312212412
614332102240
72434264401
oct627176160
9242784346
10106757232
115529731a
122b904980
131916b37a
141026d9a8
15958bb8c
hex65cfc70

106757232 has 40 divisors (see below), whose sum is σ = 276160896. Its totient is φ = 35537856.

The previous prime is 106757221. The next prime is 106757249. The reversal of 106757232 is 232757601.

It is a super-2 number, since 2×1067572322 = 22794213168603648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106757193 and 106757202.

It is a congruent number.

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, 64803 + ... + 66429.

Almost surely, 2106757232 is an apocalyptic number.

106757232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106757232 is an abundant number, since it is smaller than the sum of its proper divisors (169403664).

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

106757232 is a wasteful number, since it uses less digits than its factorization.

106757232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 106757232 is about 10332.3391349684. The cubic root of 106757232 is about 474.3866239746.

The spelling of 106757232 in words is "one hundred six million, seven hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1367 1627 2734 3254 4101 4881 5468 6508 8202 9762 10936 13016 16404 19524 21872 26032 32808 39048 65616 78096 2224109 4448218 6672327 8896436 13344654 17792872 26689308 35585744 53378616 106757232