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1387534104 = 233311253089
BaseRepresentation
bin101001010110100…
…0001011100011000
310120200220000222000
41102231001130120
510320202042404
6345403401000
746245562635
oct12255013430
93520800860
101387534104
11652254a00
12328823160
131916056c8
14d23c918c
1581c31339
hex52b41718

1387534104 has 96 divisors (see below), whose sum is σ = 4236582000. Its totient is φ = 420456960.

The previous prime is 1387534091. The next prime is 1387534111. The reversal of 1387534104 is 4014357831.

It is a happy number.

1387534104 is a `hidden beast` number, since 13 + 8 + 7 + 534 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 409 + ... + 52680.

Almost surely, 21387534104 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 1387534104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118291000).

1387534104 is an abundant number, since it is smaller than the sum of its proper divisors (2849047896).

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

1387534104 is a wasteful number, since it uses less digits than its factorization.

1387534104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53126 (or 53105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1387534104 is about 37249.6188436875. The cubic root of 1387534104 is about 1115.3586903926.

The spelling of 1387534104 in words is "one billion, three hundred eighty-seven million, five hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 53089 106178 159267 212356 318534 424712 477801 583979 637068 955602 1167958 1274136 1433403 1751937 1911204 2335916 2866806 3503874 3822408 4671832 5255811 5733612 6423769 7007748 10511622 11467224 12847538 14015496 15767433 19271307 21023244 25695076 31534866 38542614 42046488 51390152 57813921 63069732 77085228 115627842 126139464 154170456 173441763 231255684 346883526 462511368 693767052 1387534104