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1087268328 = 2332233671789
BaseRepresentation
bin100000011001110…
…0110010111101000
32210202212221202100
41000303212113220
54211320041303
6255515533400
735641425336
oct10063462750
92722787670
101087268328
11508809873
1226415a260
13144343953
14a4586b56
15656bd8a3
hex40ce65e8

1087268328 has 96 divisors (see below), whose sum is σ = 3082809600. Its totient is φ = 345527424.

The previous prime is 1087268327. The next prime is 1087268339. The reversal of 1087268328 is 8238627801.

It is not an unprimeable number, because it can be changed into a prime (1087268321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606858 + ... + 608646.

It is an arithmetic number, because the mean of its divisors is an integer number (32112600).

Almost surely, 21087268328 is an apocalyptic number.

1087268328 is a gapful number since it is divisible by the number (18) 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 1087268328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541404800).

1087268328 is an abundant number, since it is smaller than the sum of its proper divisors (1995541272).

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

1087268328 is a wasteful number, since it uses less digits than its factorization.

1087268328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1087268328 is about 32973.7521067894. The cubic root of 1087268328 is about 1028.2820288332.

The spelling of 1087268328 in words is "one billion, eighty-seven million, two hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 367 414 552 734 828 1101 1468 1656 1789 2202 2936 3303 3578 4404 5367 6606 7156 8441 8808 10734 13212 14312 16101 16882 21468 25323 26424 32202 33764 41147 42936 50646 64404 67528 75969 82294 101292 123441 128808 151938 164588 202584 246882 303876 329176 370323 493764 607752 656563 740646 987528 1313126 1481292 1969689 2626252 2962584 3939378 5252504 5909067 7878756 11818134 15100949 15757512 23636268 30201898 45302847 47272536 60403796 90605694 120807592 135908541 181211388 271817082 362422776 543634164 1087268328