Search a number
-
+
1249103424 = 263173710343
BaseRepresentation
bin100101001110011…
…1100111001000000
310020001102000202210
41022130330321000
510024232302144
6323540342120
742645126642
oct11234747100
93201360683
101249103424
115910a4988
122aa3a4940
1316ba2776a
14bbc72892
15749d9ab9
hex4a73ce40

1249103424 has 112 divisors (see below), whose sum is σ = 3594250368. Its totient is φ = 381247488.

The previous prime is 1249103413. The next prime is 1249103459. The reversal of 1249103424 is 4243019421.

It is a junction number, because it is equal to n+sod(n) for n = 1249103391 and 1249103400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115597 + ... + 125939.

Almost surely, 21249103424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797125184).

1249103424 is an abundant number, since it is smaller than the sum of its proper divisors (2345146944).

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

1249103424 is a wasteful number, since it uses less digits than its factorization.

1249103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 10402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1249103424 is about 35342.6572854957. The cubic root of 1249103424 is about 1076.9597348233.

The spelling of 1249103424 in words is "one billion, two hundred forty-nine million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2368 2516 3264 3552 3774 5032 7104 7548 10064 10343 15096 20128 20686 30192 31029 40256 41372 60384 62058 82744 120768 124116 165488 175831 248232 330976 351662 382691 496464 527493 661952 703324 765382 992928 1054986 1148073 1406648 1530764 1985856 2109972 2296146 2813296 3061528 4219944 4592292 5626592 6123056 6505747 8439888 9184584 11253184 12246112 13011494 16879776 18369168 19517241 24492224 26022988 33759552 36738336 39034482 52045976 73476672 78068964 104091952 156137928 208183904 312275856 416367808 624551712 1249103424