Search a number
-
+
107813472 = 2531386389
BaseRepresentation
bin1100110110100…
…01101001100000
321111212111021120
412123101221200
5210100012342
614410452240
72446253664
oct633215140
9244774246
10107813472
1155948948
1230134080
131944b070
14104668a4
1596e9aec
hex66d1a60

107813472 has 48 divisors (see below), whose sum is σ = 304783920. Its totient is φ = 33172992.

The previous prime is 107813471. The next prime is 107813479. The reversal of 107813472 is 274318701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107813471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41947 + ... + 44442.

It is an arithmetic number, because the mean of its divisors is an integer number (6349665).

Almost surely, 2107813472 is an apocalyptic number.

107813472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107813472 is an abundant number, since it is smaller than the sum of its proper divisors (196970448).

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

107813472 is a wasteful number, since it uses less digits than its factorization.

107813472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86415 (or 86407 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 107813472 is about 10383.3266345618. The cubic root of 107813472 is about 475.9459958034.

The spelling of 107813472 in words is "one hundred seven million, eight hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 86389 172778 259167 345556 518334 691112 1036668 1123057 1382224 2073336 2246114 2764448 3369171 4146672 4492228 6738342 8293344 8984456 13476684 17968912 26953368 35937824 53906736 107813472