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120116240 = 2457611973
BaseRepresentation
bin1110010100011…
…01010000010000
322101000112111122
413022031100100
5221222204430
615530301412
72655654056
oct712152020
9271015448
10120116240
1161891122
1234287868
131bb67aca
1411d4a1d6
15a829ee5
hex728d410

120116240 has 40 divisors (see below), whose sum is σ = 279778968. Its totient is φ = 47959040.

The previous prime is 120116221. The next prime is 120116291. The reversal of 120116240 is 42611021.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 115519504 = 2144^2 + 10748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1201162402 = 28855822223475200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59894 + ... + 61866.

Almost surely, 2120116240 is an apocalyptic number.

120116240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120116240 is an abundant number, since it is smaller than the sum of its proper divisors (159662728).

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

120116240 is a wasteful number, since it uses less digits than its factorization.

120116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 120116240 is about 10959.7554717247. The cubic root of 120116240 is about 493.4016259649.

Adding to 120116240 its reverse (42611021), we get a palindrome (162727261).

The spelling of 120116240 in words is "one hundred twenty million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 761 1522 1973 3044 3805 3946 6088 7610 7892 9865 12176 15220 15784 19730 30440 31568 39460 60880 78920 157840 1501453 3002906 6005812 7507265 12011624 15014530 24023248 30029060 60058120 120116240