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157459117 = 1761151841
BaseRepresentation
bin10010110001010…
…10001010101101
3101222021202022011
421120222022231
5310302142432
623342521221
73621244324
oct1130521255
9358252264
10157459117
1180977402
1244896211
132681109a
1416cab0bb
15dc54847
hex962a2ad

157459117 has 8 divisors (see below), whose sum is σ = 169455672. Its totient is φ = 145766400.

The previous prime is 157459091. The next prime is 157459121. The reversal of 157459117 is 711954751.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 154480041 = 1726^2 + 12429^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 157459117 - 219 = 156934829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157459117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157459417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74884 + ... + 76957.

It is an arithmetic number, because the mean of its divisors is an integer number (21181959).

Almost surely, 2157459117 is an apocalyptic number.

157459117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

157459117 is a deficient number, since it is larger than the sum of its proper divisors (11996555).

157459117 is a wasteful number, since it uses less digits than its factorization.

157459117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151919.

The product of its digits is 44100, while the sum is 40.

The square root of 157459117 is about 12548.2714745896. The cubic root of 157459117 is about 539.9944180950.

The spelling of 157459117 in words is "one hundred fifty-seven million, four hundred fifty-nine thousand, one hundred seventeen".

Divisors: 1 17 61 1037 151841 2581297 9262301 157459117