Search a number
-
+
107900646 = 23723111839
BaseRepresentation
bin1100110111001…
…10111011100110
321112000220212020
412123212323212
5210110310041
614412404010
72450066100
oct633467346
9245026766
10107900646
11559a8397
1230176606
131947b949
141048a570
159715866
hex66e6ee6

107900646 has 48 divisors (see below), whose sum is σ = 259153920. Its totient is φ = 29831760.

The previous prime is 107900629. The next prime is 107900647. The reversal of 107900646 is 646009701.

It is a happy number.

107900646 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107900647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195 + ... + 15033.

It is an arithmetic number, because the mean of its divisors is an integer number (5399040).

Almost surely, 2107900646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107900646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129576960).

107900646 is an abundant number, since it is smaller than the sum of its proper divisors (151253274).

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

107900646 is a wasteful number, since it uses less digits than its factorization.

107900646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 107900646 is about 10387.5235739805. The cubic root of 107900646 is about 476.0742387092.

The spelling of 107900646 in words is "one hundred seven million, nine hundred thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 11839 23678 35517 71034 82873 165746 248619 367009 497238 580111 734018 1101027 1160222 1740333 2202054 2569063 3480666 5138126 7707189 15414378 17983441 35966882 53950323 107900646