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157304405 = 5712792
BaseRepresentation
bin10010110000001…
…00011001010101
3101221222220002002
421120010121111
5310232220110
623335325045
73620031266
oct1130043125
9357886062
10157304405
1180881145
1244820785
132678883b
1416c6a96d
15dc23aa5
hex9604655

157304405 has 18 divisors (see below), whose sum is σ = 193915638. Its totient is φ = 122500560.

The previous prime is 157304393. The next prime is 157304431. The reversal of 157304405 is 504403751.

It can be written as a sum of positive squares in only one way, i.e., 125843524 + 31460881 = 11218^2 + 5609^2 .

It is not a de Polignac number, because 157304405 - 26 = 157304341 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1991156 + ... + 1991234.

It is an arithmetic number, because the mean of its divisors is an integer number (10773091).

Almost surely, 2157304405 is an apocalyptic number.

It is an amenable number.

157304405 is a deficient number, since it is larger than the sum of its proper divisors (36611233).

157304405 is an frugal number, since it uses more digits than its factorization.

157304405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 157304405 is about 12542.1052857963. The cubic root of 157304405 is about 539.8175023449.

The spelling of 157304405 in words is "one hundred fifty-seven million, three hundred four thousand, four hundred five".

Divisors: 1 5 71 79 355 395 5041 5609 6241 25205 28045 31205 398239 443111 1991195 2215555 31460881 157304405