Search a number
-
+
107370960 = 2435631709
BaseRepresentation
bin1100110011001…
…01100111010000
321111001000021020
412121211213100
5204441332320
614353155440
72442431604
oct631454720
9244030236
10107370960
1155676434
122bb5bb80
1319324818
141038d504
15965d940
hex66659d0

107370960 has 80 divisors (see below), whose sum is σ = 333847680. Its totient is φ = 28546560.

The previous prime is 107370953. The next prime is 107370971. The reversal of 107370960 is 69073701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151086 + ... + 151794.

It is an arithmetic number, because the mean of its divisors is an integer number (4173096).

Almost surely, 2107370960 is an apocalyptic number.

107370960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923840).

107370960 is an abundant number, since it is smaller than the sum of its proper divisors (226476720).

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

107370960 is a wasteful number, since it uses less digits than its factorization.

107370960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 107370960 is about 10361.9959467276. The cubic root of 107370960 is about 475.2939417944.

The spelling of 107370960 in words is "one hundred seven million, three hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 709 1262 1418 1893 2127 2524 2836 3155 3545 3786 4254 5048 5672 6310 7090 7572 8508 9465 10096 10635 11344 12620 14180 15144 17016 18930 21270 25240 28360 30288 34032 37860 42540 50480 56720 75720 85080 151440 170160 447379 894758 1342137 1789516 2236895 2684274 3579032 4473790 5368548 6710685 7158064 8947580 10737096 13421370 17895160 21474192 26842740 35790320 53685480 107370960