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1157127390 = 233531138247
BaseRepresentation
bin100010011111000…
…0101110011011110
32222122100011101000
41010332011303132
54332211034030
6310453131130
740450264146
oct10476056336
92878304330
101157127390
11544193a31
12283629aa6
13155963283
14ad96d926
156b8bc860
hex44f85cde

1157127390 has 64 divisors (see below), whose sum is σ = 3185233920. Its totient is φ = 298611360.

The previous prime is 1157127331. The next prime is 1157127397. The reversal of 1157127390 is 937217511.

1157127390 is a `hidden beast` number, since 11 + 571 + 2 + 73 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157127397) 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 31 ways as a sum of consecutive naturals, for example, 60754 + ... + 77493.

It is an arithmetic number, because the mean of its divisors is an integer number (49769280).

Almost surely, 21157127390 is an apocalyptic number.

1157127390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1157127390 is an abundant number, since it is smaller than the sum of its proper divisors (2028106530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1157127390 is a wasteful number, since it uses less digits than its factorization.

1157127390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138294 (or 138288 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1157127390 is about 34016.5752244402. The cubic root of 1157127390 is about 1049.8495294582.

The spelling of 1157127390 in words is "one billion, one hundred fifty-seven million, one hundred twenty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 138247 276494 414741 691235 829482 1244223 1382470 2073705 2488446 3732669 4147410 4285657 6221115 7465338 8571314 12442230 12856971 18663345 21428285 25713942 37326690 38570913 42856570 64284855 77141826 115712739 128569710 192854565 231425478 385709130 578563695 1157127390