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120268841 = 7111982207
BaseRepresentation
bin1110010101100…
…10100000101001
322101022021211112
413022302200221
5221242100331
615533440105
72660161010
oct712624051
9271267745
10120268841
1161985840
1234340035
131bbbc3c4
1411d89a77
15a85a32b
hex72b2829

120268841 has 16 divisors (see below), whose sum is σ = 157839360. Its totient is φ = 88782480.

The previous prime is 120268831. The next prime is 120268853. The reversal of 120268841 is 148862021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120268841 - 218 = 120006697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120268798 and 120268807.

It is not an unprimeable number, because it can be changed into a prime (120268801) 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, 39641 + ... + 42566.

It is an arithmetic number, because the mean of its divisors is an integer number (9864960).

Almost surely, 2120268841 is an apocalyptic number.

120268841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120268841 is a deficient number, since it is larger than the sum of its proper divisors (37570519).

120268841 is a wasteful number, since it uses less digits than its factorization.

120268841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82244.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 120268841 is about 10966.7151417368. The cubic root of 120268841 is about 493.6104839805.

The spelling of 120268841 in words is "one hundred twenty million, two hundred sixty-eight thousand, eight hundred forty-one".

Divisors: 1 7 11 19 77 133 209 1463 82207 575449 904277 1561933 6329939 10933531 17181263 120268841