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1087960896 = 26341119079
BaseRepresentation
bin100000011011000…
…1111011101000000
32210211012010210000
41000312033131000
54212004222041
6255542440000
735650341441
oct10066173500
92724163700
101087960896
11509142140
12264433000
13144526c59
14a46c72c8
15657a8bb6
hex40d8f740

1087960896 has 140 divisors (see below), whose sum is σ = 3518428320. Its totient is φ = 329667840.

The previous prime is 1087960837. The next prime is 1087960901. The reversal of 1087960896 is 6980697801.

It is a super-2 number, since 2×10879608962 = 2367317822450245632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 47485 + ... + 66563.

Almost surely, 21087960896 is an apocalyptic number.

1087960896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759214160).

1087960896 is an abundant number, since it is smaller than the sum of its proper divisors (2430467424).

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

1087960896 is a wasteful number, since it uses less digits than its factorization.

1087960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114 (or 19095 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 1087960896 is about 32984.2522425475. The cubic root of 1087960896 is about 1028.5003141309.

The spelling of 1087960896 in words is "one billion, eighty-seven million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 19079 28512 38158 57024 57237 76316 114474 152632 171711 209869 228948 305264 343422 419738 457896 515133 610528 629607 686844 839476 915792 1030266 1221056 1259214 1373688 1545399 1678952 1831584 1888821 2060532 2518428 2747376 3090798 3357904 3663168 3777642 4121064 5036856 5494752 5666463 6181596 6715808 7555284 8242128 10073712 10989504 11332926 12363192 13431616 15110568 16484256 16999389 20147424 22665852 24726384 30221136 32968512 33998778 40294848 45331704 49452768 60442272 67997556 90663408 98905536 120884544 135995112 181326816 271990224 362653632 543980448 1087960896