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157293 = 3217477
BaseRepresentation
bin100110011001101101
321222202200
4212121231
520013133
63212113
71223403
oct463155
9258680
10157293
11a81a4
1277039
1356796
1441473
1531913
hex2666d

157293 has 6 divisors (see below), whose sum is σ = 227214. Its totient is φ = 104856.

The previous prime is 157291. The next prime is 157303. The reversal of 157293 is 392751.

157293 is a `hidden beast` number, since 1 + 572 + 93 = 666.

157293 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 56169 = 318^2 + 237^2 .

It is not a de Polignac number, because 157293 - 21 = 157291 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8730 + ... + 8747.

It is an arithmetic number, because the mean of its divisors is an integer number (37869).

2157293 is an apocalyptic number.

It is an amenable number.

157293 is a deficient number, since it is larger than the sum of its proper divisors (69921).

157293 is a wasteful number, since it uses less digits than its factorization.

157293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17483 (or 17480 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 157293 is about 396.6018154270. The cubic root of 157293 is about 53.9804455947.

Subtracting from 157293 its product of digits (1890), we obtain a triangular number (155403 = T557).

The spelling of 157293 in words is "one hundred fifty-seven thousand, two hundred ninety-three".

Divisors: 1 3 9 17477 52431 157293