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107748468 = 22341923761
BaseRepresentation
bin1100110110000…
…01110001110100
321111202012010000
412123001301310
5210040422333
614405231300
72445563322
oct633016164
9244665100
10107748468
1155904023
1230102530
13194275b9
141044ad12
1596d5713
hex66c1c74

107748468 has 120 divisors (see below), whose sum is σ = 309798720. Its totient is φ = 32503680.

The previous prime is 107748463. The next prime is 107748469. The reversal of 107748468 is 864847701.

107748468 is a `hidden beast` number, since 107 + 7 + 484 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107748463) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 141208 + ... + 141968.

It is an arithmetic number, because the mean of its divisors is an integer number (2581656).

Almost surely, 2107748468 is an apocalyptic number.

107748468 is a gapful number since it is divisible by the number (18) 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 107748468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).

107748468 is an abundant number, since it is smaller than the sum of its proper divisors (202050252).

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

107748468 is a wasteful number, since it uses less digits than its factorization.

107748468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 107748468 is about 10380.1959519077. The cubic root of 107748468 is about 475.8503224987.

The spelling of 107748468 in words is "one hundred seven million, seven hundred forty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 92 108 114 138 162 171 207 228 276 324 342 414 437 513 621 684 761 828 874 1026 1242 1311 1522 1539 1748 1863 2052 2283 2484 2622 3044 3078 3726 3933 4566 5244 6156 6849 7452 7866 9132 11799 13698 14459 15732 17503 20547 23598 27396 28918 35006 35397 41094 43377 47196 52509 57836 61641 70012 70794 82188 86754 105018 123282 130131 141588 157527 173508 210036 246564 260262 315054 332557 390393 472581 520524 630108 665114 780786 945162 997671 1171179 1330228 1417743 1561572 1890324 1995342 2342358 2835486 2993013 3990684 4684716 5670972 5986026 8979039 11972052 17958078 26937117 35916156 53874234 107748468