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107646672 = 2437320377
BaseRepresentation
bin1100110101010…
…00111011010000
321111120000110210
412122220323100
5210024143142
614403124120
72444660460
oct632507320
9244500423
10107646672
11558445a1
1230073640
13193c0173
1410421ba0
1596b549c
hex66a8ed0

107646672 has 40 divisors (see below), whose sum is σ = 317814976. Its totient is φ = 30756096.

The previous prime is 107646661. The next prime is 107646683. The reversal of 107646672 is 276646701.

It is an interprime number because it is at equal distance from previous prime (107646661) and next prime (107646683).

It is a self number, because there is not a number n which added to its sum of digits gives 107646672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159853 + ... + 160524.

Almost surely, 2107646672 is an apocalyptic number.

107646672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107646672 is an abundant number, since it is smaller than the sum of its proper divisors (210168304).

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

107646672 is a wasteful number, since it uses less digits than its factorization.

107646672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320395 (or 320389 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 107646672 is about 10375.2914175940. The cubic root of 107646672 is about 475.7004211500.

The spelling of 107646672 in words is "one hundred seven million, six hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 320377 640754 961131 1281508 1922262 2242639 2563016 3844524 4485278 5126032 6727917 7689048 8970556 13455834 15378096 17941112 26911668 35882224 53823336 107646672