Search a number
-
+
257034701 = 71123913967
BaseRepresentation
bin11110101001000…
…00100111001101
3122220122201022202
433110200213031
51011300102301
641301051245
76240521210
oct1724404715
9586581282
10257034701
111220a8a80
12720b6b25
1341336651
14261cb777
151787366b
hexf5209cd

257034701 has 16 divisors (see below), whose sum is σ = 321822720. Its totient is φ = 199434480.

The previous prime is 257034691. The next prime is 257034703. The reversal of 257034701 is 107430752.

257034701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257034701 - 218 = 256772557 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257034703) 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, 11420 + ... + 25386.

It is an arithmetic number, because the mean of its divisors is an integer number (20113920).

Almost surely, 2257034701 is an apocalyptic number.

It is an amenable number.

257034701 is a deficient number, since it is larger than the sum of its proper divisors (64788019).

257034701 is a wasteful number, since it uses less digits than its factorization.

257034701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14224.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 257034701 is about 16032.3017998040. The cubic root of 257034701 is about 635.8147320087.

The spelling of 257034701 in words is "two hundred fifty-seven million, thirty-four thousand, seven hundred one".

Divisors: 1 7 11 77 239 1673 2629 13967 18403 97769 153637 1075459 3338113 23366791 36719243 257034701