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1157013 = 3211132931
BaseRepresentation
bin100011010011110010101
32011210010100
410122132111
5244011023
640444313
712556134
oct4323625
92153110
101157013
11720310
12479699
13316830
1422191b
1517cc43
hex11a795

1157013 has 48 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 604800.

The previous prime is 1157011. The next prime is 1157017. The reversal of 1157013 is 3107511.

It is a happy number.

It is not a de Polignac number, because 1157013 - 21 = 1157011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37308 + ... + 37338.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

21157013 is an apocalyptic number.

1157013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1157013 is a deficient number, since it is larger than the sum of its proper divisors (939627).

1157013 is a wasteful number, since it uses less digits than its factorization.

1157013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1157013 is about 1075.6453876627. The cubic root of 1157013 is about 104.9814933370.

The spelling of 1157013 in words is "one million, one hundred fifty-seven thousand, thirteen".

Divisors: 1 3 9 11 13 29 31 33 39 87 93 99 117 143 261 279 319 341 377 403 429 899 957 1023 1131 1209 1287 2697 2871 3069 3393 3627 4147 4433 8091 9889 11687 12441 13299 29667 35061 37323 39897 89001 105183 128557 385671 1157013