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2400930157 = 53173401653
BaseRepresentation
bin1000111100011011…
…0100100101101101
320012022202220000011
42033012310211231
514404114231112
61034124133221
7113332366243
oct21706644555
96168686004
102400930157
1110222983aa
12570097211
132c3553142
1418ac22793
15e0babaa7
hex8f1b496d

2400930157 has 16 divisors (see below), whose sum is σ = 2470283568. Its totient is φ = 2332595200.

The previous prime is 2400930149. The next prime is 2400930167. The reversal of 2400930157 is 7510390042.

It can be written as a sum of positive squares in 8 ways, for example, as 669205161 + 1731724996 = 25869^2 + 41614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400930157 - 23 = 2400930149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400930167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3676443 + ... + 3677095.

It is an arithmetic number, because the mean of its divisors is an integer number (154392723).

Almost surely, 22400930157 is an apocalyptic number.

It is an amenable number.

2400930157 is a deficient number, since it is larger than the sum of its proper divisors (69353411).

2400930157 is a wasteful number, since it uses less digits than its factorization.

2400930157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2400930157 is about 48999.2873111436. The cubic root of 2400930157 is about 1339.0388438641.

The spelling of 2400930157 in words is "two billion, four hundred million, nine hundred thirty thousand, one hundred fifty-seven".

Divisors: 1 53 173 401 653 9169 21253 34609 69373 112969 261853 3676769 5987357 13878209 45300569 2400930157