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1087881816 = 233717537187
BaseRepresentation
bin100000011010111…
…1100001001011000
32210211001010022010
41000311330021120
54211444204231
6255541025520
735646562050
oct10065741130
92724033263
101087881816
1150909878a
122643b52a0
131444c9c68
14a46a6560
1565790546
hex40d7c258

1087881816 has 128 divisors (see below), whose sum is σ = 3353633280. Its totient is φ = 286980096.

The previous prime is 1087881797. The next prime is 1087881827. The reversal of 1087881816 is 6181887801.

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, 147775 + ... + 154961.

It is an arithmetic number, because the mean of its divisors is an integer number (26200260).

Almost surely, 21087881816 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 1087881816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676816640).

1087881816 is an abundant number, since it is smaller than the sum of its proper divisors (2265751464).

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

1087881816 is a wasteful number, since it uses less digits than its factorization.

1087881816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 48.

The square root of 1087881816 is about 32983.0534668942. The cubic root of 1087881816 is about 1028.4753941864.

The spelling of 1087881816 in words is "one billion, eighty-seven million, eight hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 53 56 68 84 102 106 119 136 159 168 204 212 238 318 357 371 408 424 476 636 714 742 901 952 1113 1272 1428 1484 1802 2226 2703 2856 2968 3604 4452 5406 6307 7187 7208 8904 10812 12614 14374 18921 21561 21624 25228 28748 37842 43122 50309 50456 57496 75684 86244 100618 122179 150927 151368 172488 201236 244358 301854 366537 380911 402472 488716 603708 733074 761822 855253 977432 1142733 1207416 1466148 1523644 1710506 2285466 2565759 2666377 2932296 3047288 3421012 4570932 5131518 5332754 6475487 6842024 7999131 9141864 10263036 10665508 12950974 15998262 19426461 20526072 21331016 25901948 31996524 38852922 45328409 51803896 63993048 77705844 90656818 135985227 155411688 181313636 271970454 362627272 543940908 1087881816