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120316040 = 23513401577
BaseRepresentation
bin1110010101111…
…10000010001000
322101101200120122
413022332002020
5221300103130
615534442412
72660445425
oct712760210
9271350518
10120316040
1161a08249
1234363408
131bc07a30
1411d9cd4c
15a8692e5
hex72be088

120316040 has 64 divisors (see below), whose sum is σ = 292768560. Its totient is φ = 44236800.

The previous prime is 120316039. The next prime is 120316061. The reversal of 120316040 is 40613021.

It can be written as a sum of positive squares in 8 ways, for example, as 105555076 + 14760964 = 10274^2 + 3842^2 .

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, 208232 + ... + 208808.

Almost surely, 2120316040 is an apocalyptic number.

120316040 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 120316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146384280).

120316040 is an abundant number, since it is smaller than the sum of its proper divisors (172452520).

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

120316040 is a wasteful number, since it uses less digits than its factorization.

120316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 120316040 is about 10968.8668512294. The cubic root of 120316040 is about 493.6750473204.

Adding to 120316040 its reverse (40613021), we get a palindrome (160929061).

The spelling of 120316040 in words is "one hundred twenty million, three hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 401 520 577 802 1154 1604 2005 2308 2885 3208 4010 4616 5213 5770 7501 8020 10426 11540 15002 16040 20852 23080 26065 30004 37505 41704 52130 60008 75010 104260 150020 208520 231377 300040 462754 925508 1156885 1851016 2313770 3007901 4627540 6015802 9255080 12031604 15039505 24063208 30079010 60158020 120316040