Search a number
-
+
107909520 = 2435521863
BaseRepresentation
bin1100110111010…
…01000110010000
321112001101000220
412123221012100
5210111101040
614412513040
72450134005
oct633510620
9245041026
10107909520
1155a04024
123017b780
13194829b4
141048d8ac
1597182d0
hex66e9190

107909520 has 80 divisors (see below), whose sum is σ = 335549952. Its totient is φ = 28687360.

The previous prime is 107909513. The next prime is 107909521. The reversal of 107909520 is 25909701.

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

It is not an unprimeable number, because it can be changed into a prime (107909521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124609 + ... + 125471.

Almost surely, 2107909520 is an apocalyptic number.

107909520 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 107909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167774976).

107909520 is an abundant number, since it is smaller than the sum of its proper divisors (227640432).

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

107909520 is a wasteful number, since it uses less digits than its factorization.

107909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 107909520 is about 10387.9507122435. The cubic root of 107909520 is about 476.0872895022.

The spelling of 107909520 in words is "one hundred seven million, nine hundred nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 521 863 1042 1563 1726 2084 2589 2605 3126 3452 4168 4315 5178 5210 6252 6904 7815 8336 8630 10356 10420 12504 12945 13808 15630 17260 20712 20840 25008 25890 31260 34520 41424 41680 51780 62520 69040 103560 125040 207120 449623 899246 1348869 1798492 2248115 2697738 3596984 4496230 5395476 6744345 7193968 8992460 10790952 13488690 17984920 21581904 26977380 35969840 53954760 107909520