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1114898880 = 26353137463
BaseRepresentation
bin100001001110100…
…0000000111000000
32212200212201202010
41002131000013000
54240403231010
6302344052520
736425325024
oct10235000700
92780781663
101114898880
11522371037
12271464140
13149c992a4
14a80da384
1567d2a620
hex427401c0

1114898880 has 112 divisors (see below), whose sum is σ = 3654088704. Its totient is φ = 287708160.

The previous prime is 1114898861. The next prime is 1114898921. The reversal of 1114898880 is 888984111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11029 + ... + 48491.

It is an arithmetic number, because the mean of its divisors is an integer number (32625792).

Almost surely, 21114898880 is an apocalyptic number.

1114898880 is a gapful number since it is divisible by the number (10) 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 1114898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827044352).

1114898880 is an abundant number, since it is smaller than the sum of its proper divisors (2539189824).

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

1114898880 is a wasteful number, since it uses less digits than its factorization.

1114898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37514 (or 37504 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 48.

The square root of 1114898880 is about 33390.1015272491. The cubic root of 1114898880 is about 1036.9197816381.

The spelling of 1114898880 in words is "one billion, one hundred fourteen million, eight hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 37463 74926 112389 149852 187315 224778 299704 374630 449556 561945 599408 749260 899112 1123890 1161353 1198816 1498520 1798224 2247780 2322706 2397632 2997040 3484059 3596448 4495560 4645412 5806765 5994080 6968118 7192896 8991120 9290824 11613530 11988160 13936236 17420295 17982240 18581648 23227060 27872472 34840590 35964480 37163296 46454120 55744944 69681180 74326592 92908240 111489888 139362360 185816480 222979776 278724720 371632960 557449440 1114898880