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107234436 = 223173714207
BaseRepresentation
bin1100110010001…
…00010010000100
321110210001222210
412121010102010
5204423000221
614350223420
72441322561
oct631042204
9243701883
10107234436
1155592901
122bab4b70
13192a763a
1410355868
159633276
hex6644484

107234436 has 48 divisors (see below), whose sum is σ = 272111616. Its totient is φ = 32730624.

The previous prime is 107234417. The next prime is 107234459. The reversal of 107234436 is 634432701.

It is a super-2 number, since 2×1072344362 = 22998448528476192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (5668992).

Almost surely, 2107234436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107234436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136055808).

107234436 is an abundant number, since it is smaller than the sum of its proper divisors (164877180).

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

107234436 is a wasteful number, since it uses less digits than its factorization.

107234436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268 (or 14266 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 107234436 is about 10355.4061243391. The cubic root of 107234436 is about 475.0924082448.

It can be divided in two parts, 1072344 and 36, that added together give a triangular number (1072380 = T1464).

The spelling of 107234436 in words is "one hundred seven million, two hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 7548 14207 28414 42621 56828 85242 170484 241519 483038 525659 724557 966076 1051318 1449114 1576977 2102636 2898228 3153954 6307908 8936203 17872406 26808609 35744812 53617218 107234436