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1249938135 = 34529313433
BaseRepresentation
bin100101010000000…
…1000101011010111
310020002222102210000
41022200020223113
510024441010020
6324010302343
742655204335
oct11240105327
93202872700
101249938135
11591615026
122aa7279b3
1316bc5a684
14bc00cb55
1574b02090
hex4a808ad7

1249938135 has 80 divisors (see below), whose sum is σ = 2393360640. Its totient is φ = 622702080.

The previous prime is 1249938133. The next prime is 1249938139. The reversal of 1249938135 is 5318399421.

It is a happy number.

It is not a de Polignac number, because 1249938135 - 21 = 1249938133 is a prime.

It is a super-4 number, since 4×12499381354 (a number of 37 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249938133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 362379 + ... + 365811.

It is an arithmetic number, because the mean of its divisors is an integer number (29917008).

Almost surely, 21249938135 is an apocalyptic number.

1249938135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1249938135 is a deficient number, since it is larger than the sum of its proper divisors (1143422505).

1249938135 is a wasteful number, since it uses less digits than its factorization.

1249938135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3501 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 1249938135 is about 35354.4641452816. The cubic root of 1249938135 is about 1077.1995735091.

The spelling of 1249938135 in words is "one billion, two hundred forty-nine million, nine hundred thirty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 31 45 81 87 93 135 145 155 261 279 405 435 465 783 837 899 1305 1395 2349 2511 2697 3433 3915 4185 4495 8091 10299 11745 12555 13485 17165 24273 30897 40455 51495 72819 92691 99557 106423 121365 154485 278073 298671 319269 364095 463455 497785 532115 896013 957807 1390365 1493355 1596345 2688039 2873421 3086267 4480065 4789035 8064117 8620263 9258801 13440195 14367105 15431335 27776403 40320585 43101315 46294005 83329209 138882015 249987627 416646045 1249938135