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107627696 = 2411738377
BaseRepresentation
bin1100110101001…
…00010010110000
321111112001102222
412122210102300
5210023041241
614402500212
72444551241
oct632442260
9244461388
10107627696
1155831310
1230064668
13193b4637
1410418cc8
1596aea4b
hex66a44b0

107627696 has 40 divisors (see below), whose sum is σ = 230629584. Its totient is φ = 48245760.

The previous prime is 107627627. The next prime is 107627699. The reversal of 107627696 is 696726701.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (107627699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8660 + ... + 17036.

Almost surely, 2107627696 is an apocalyptic number.

107627696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107627696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115314792).

107627696 is an abundant number, since it is smaller than the sum of its proper divisors (123001888).

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

107627696 is a wasteful number, since it uses less digits than its factorization.

107627696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 107627696 is about 10374.3768969515. The cubic root of 107627696 is about 475.6724672849.

The spelling of 107627696 in words is "one hundred seven million, six hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 6424 8377 12848 16754 33508 67016 92147 134032 184294 368588 611521 737176 1223042 1474352 2446084 4892168 6726731 9784336 13453462 26906924 53813848 107627696