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1413006390 = 233512834079
BaseRepresentation
bin101010000111000…
…1100010000110110
310122110211011101000
41110032030100312
510343212201030
6352113344130
750005233105
oct12416142066
93573734330
101413006390
11665672684
12335268046
13196983873
14d593a03c
15840b3860
hex5438c436

1413006390 has 64 divisors (see below), whose sum is σ = 3771878400. Its totient is φ = 376415712.

The previous prime is 1413006373. The next prime is 1413006407. The reversal of 1413006390 is 936003141.

1413006390 is a `hidden beast` number, since 14 + 13 + 0 + 0 + 639 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1413006373) and next prime (1413006407).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 344371 + ... + 348449.

It is an arithmetic number, because the mean of its divisors is an integer number (58935600).

Almost surely, 21413006390 is an apocalyptic number.

1413006390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1413006390 is an abundant number, since it is smaller than the sum of its proper divisors (2358872010).

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

1413006390 is a wasteful number, since it uses less digits than its factorization.

1413006390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1413006390 is about 37589.9772545821. The cubic root of 1413006390 is about 1122.1425796102.

The spelling of 1413006390 in words is "one billion, four hundred thirteen million, six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1283 2566 3849 4079 6415 7698 8158 11547 12237 12830 19245 20395 23094 24474 34641 36711 38490 40790 57735 61185 69282 73422 110133 115470 122370 173205 183555 220266 346410 367110 550665 1101330 5233357 10466714 15700071 26166785 31400142 47100213 52333570 78500355 94200426 141300639 157000710 235501065 282601278 471002130 706503195 1413006390