Search a number
-
+
107334640 = 2457191669
BaseRepresentation
bin1100110010111…
…00101111110000
321110222011110001
412121130233300
5204434202030
614352315344
72442220660
oct631345760
9243864401
10107334640
1155651116
122bb42b54
131931112a
14103801a0
159652cca
hex665cbf0

107334640 has 40 divisors (see below), whose sum is σ = 285204960. Its totient is φ = 36800256.

The previous prime is 107334637. The next prime is 107334641. The reversal of 107334640 is 46433701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 107334599 and 107334608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107334641) 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, 95275 + ... + 96394.

It is an arithmetic number, because the mean of its divisors is an integer number (7130124).

Almost surely, 2107334640 is an apocalyptic number.

107334640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107334640 is an abundant number, since it is smaller than the sum of its proper divisors (177870320).

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

107334640 is a wasteful number, since it uses less digits than its factorization.

107334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191689 (or 191683 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 107334640 is about 10360.2432403877. The cubic root of 107334640 is about 475.2403437427.

The spelling of 107334640 in words is "one hundred seven million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 191669 383338 766676 958345 1341683 1533352 1916690 2683366 3066704 3833380 5366732 6708415 7666760 10733464 13416830 15333520 21466928 26833660 53667320 107334640