Search a number
-
+
107910968 = 231117531361
BaseRepresentation
bin1100110111010…
…01011100111000
321112001110000112
412123221130320
5210111122333
614412523452
72450141144
oct633513470
9245043015
10107910968
1155a05120
1230180588
1319483559
1410490224
159718948
hex66e9738

107910968 has 64 divisors (see below), whose sum is σ = 238295520. Its totient is φ = 45260800.

The previous prime is 107910931. The next prime is 107910973. The reversal of 107910968 is 869019701.

It is a happy number.

It is a congruent number.

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, 78608 + ... + 79968.

Almost surely, 2107910968 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 107910968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119147760).

107910968 is an abundant number, since it is smaller than the sum of its proper divisors (130384552).

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

107910968 is a wasteful number, since it uses less digits than its factorization.

107910968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 107910968 is about 10388.0204081432. The cubic root of 107910968 is about 476.0894189755.

The spelling of 107910968 in words is "one hundred seven million, nine hundred ten thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 53 68 88 106 136 187 212 374 424 583 748 901 1166 1361 1496 1802 2332 2722 3604 4664 5444 7208 9911 10888 14971 19822 23137 29942 39644 46274 59884 72133 79288 92548 119768 144266 185096 254507 288532 509014 577064 793463 1018028 1226261 1586926 2036056 2452522 3173852 4905044 6347704 9810088 13488871 26977742 53955484 107910968