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1349899506 = 23953647
BaseRepresentation
bin101000001110101…
…1101010011110010
310111002002000000000
41100131131103302
510231033241011
6341541010430
745310646034
oct12035352362
93432060000
101349899506
11632a8a52a
123180b3a16
13186889707
14cb3cdc54
157d79a356
hex5075d4f2

1349899506 has 80 divisors (see below), whose sum is σ = 3099311424. Its totient is φ = 440794224.

The previous prime is 1349899493. The next prime is 1349899519. The reversal of 1349899506 is 6059989431.

1349899506 is a `hidden beast` number, since 1 + 3 + 49 + 8 + 99 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (1349899493) and next prime (1349899519).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2086075 + ... + 2086721.

Almost surely, 21349899506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349899506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549655712).

1349899506 is an abundant number, since it is smaller than the sum of its proper divisors (1749411918).

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

1349899506 is an frugal number, since it uses more digits than its factorization.

1349899506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 1349899506 is about 36740.9785661732. The cubic root of 1349899506 is about 1105.1820249811.

The spelling of 1349899506 in words is "one billion, three hundred forty-nine million, eight hundred ninety-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 647 729 954 1294 1431 1458 1941 2187 2862 3882 4293 4374 5823 6561 8586 11646 12879 13122 17469 19683 25758 34291 34938 38637 39366 52407 68582 77274 102873 104814 115911 157221 205746 231822 308619 314442 347733 471663 617238 695466 925857 943326 1043199 1414989 1851714 2086398 2777571 2829978 4244967 5555142 8332713 8489934 12734901 16665426 24998139 25469802 49996278 74994417 149988834 224983251 449966502 674949753 1349899506