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1249340085 = 33576121673
BaseRepresentation
bin100101001110111…
…0110101010110101
310020001212001102000
41022131312222311
510024312340320
6323545405513
742650133630
oct11235665265
93201761360
101249340085
11591246774
122aa499899
1316baab3b6
14bbcd4c17
1574a34c90
hex4a776ab5

1249340085 has 64 divisors (see below), whose sum is σ = 2580072960. Its totient is φ = 561738240.

The previous prime is 1249340023. The next prime is 1249340101. The reversal of 1249340085 is 5800439421.

1249340085 is a `hidden beast` number, since 1 + 249 + 3 + 400 + 8 + 5 = 666.

It is not a de Polignac number, because 1249340085 - 223 = 1240951477 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46809 + ... + 68481.

It is an arithmetic number, because the mean of its divisors is an integer number (40313640).

Almost surely, 21249340085 is an apocalyptic number.

1249340085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1249340085 is an abundant number, since it is smaller than the sum of its proper divisors (1330732875).

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

1249340085 is a wasteful number, since it uses less digits than its factorization.

1249340085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21755 (or 21749 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1249340085 is about 35346.0052198265. The cubic root of 1249340085 is about 1077.0277458111.

The spelling of 1249340085 in words is "one billion, two hundred forty-nine million, three hundred forty thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 183 189 305 315 427 549 915 945 1281 1647 2135 2745 3843 6405 8235 11529 19215 21673 57645 65019 108365 151711 195057 325095 455133 585171 758555 975285 1322053 1365399 2275665 2925855 3966159 4096197 6610265 6826995 9254371 11898477 19830795 20480985 27763113 35695431 46271855 59492385 83289339 138815565 178477155 249868017 416446695 1249340085