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107644212 = 22321331361
BaseRepresentation
bin1100110101010…
…00010100110100
321111112220002200
412122220110310
5210024103322
614403104500
72444650344
oct632502464
9244486080
10107644212
1155842765
1230072130
13193bc000
1410420d24
1596b48ac
hex66a8534

107644212 has 72 divisors (see below), whose sum is σ = 294981960. Its totient is φ = 33096960.

The previous prime is 107644189. The next prime is 107644213. The reversal of 107644212 is 212446701.

107644212 is a `hidden beast` number, since 1 + 0 + 7 + 644 + 2 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51753636 + 55890576 = 7194^2 + 7476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107644213) 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, 78412 + ... + 79772.

Almost surely, 2107644212 is an apocalyptic number.

107644212 is a gapful number since it is divisible by the number (12) 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 107644212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490980).

107644212 is an abundant number, since it is smaller than the sum of its proper divisors (187337748).

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

107644212 is a wasteful number, since it uses less digits than its factorization.

107644212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107644212 is about 10375.1728660298. The cubic root of 107644212 is about 475.6967974680.

The spelling of 107644212 in words is "one hundred seven million, six hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1361 1521 2028 2197 2722 3042 4083 4394 5444 6084 6591 8166 8788 12249 13182 16332 17693 19773 24498 26364 35386 39546 48996 53079 70772 79092 106158 159237 212316 230009 318474 460018 636948 690027 920036 1380054 2070081 2760108 2990117 4140162 5980234 8280324 8970351 11960468 17940702 26911053 35881404 53822106 107644212