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107644020 = 223511214827
BaseRepresentation
bin1100110101010…
…00010001110100
321111112212211120
412122220101310
5210024102040
614403103540
72444646651
oct632502164
9244485746
10107644020
1155842600
1230071bb0
13193bbbb3
1410420c28
1596b47d0
hex66a8474

107644020 has 72 divisors (see below), whose sum is σ = 331316832. Its totient is φ = 26093760.

The previous prime is 107643973. The next prime is 107644021. The reversal of 107644020 is 20446701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107644021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154 + ... + 14673.

Almost surely, 2107644020 is an apocalyptic number.

107644020 is a gapful number since it is divisible by the number (10) 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 107644020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165658416).

107644020 is an abundant number, since it is smaller than the sum of its proper divisors (223672812).

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

107644020 is a wasteful number, since it uses less digits than its factorization.

107644020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14861 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 107644020 is about 10375.1636131677. The cubic root of 107644020 is about 475.6965146417.

The spelling of 107644020 in words is "one hundred seven million, six hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 14827 29654 44481 59308 74135 88962 148270 163097 177924 222405 296540 326194 444810 489291 652388 815485 889620 978582 1630970 1794067 1957164 2446455 3261940 3588134 4892910 5382201 7176268 8970335 9785820 10764402 17940670 21528804 26911005 35881340 53822010 107644020