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1114617088 = 28132911549
BaseRepresentation
bin100001001101111…
…1011010100000000
32212200100102012101
41002123323110000
54240320221323
6302334040144
736423042334
oct10233732400
92780312171
101114617088
11522199352
12271349054
13149bcac50
14a80657c4
1567cc1dad
hex426fb500

1114617088 has 72 divisors (see below), whose sum is σ = 2478861000. Its totient is φ = 496656384.

The previous prime is 1114617073. The next prime is 1114617089. The reversal of 1114617088 is 8807164111.

It can be written as a sum of positive squares in 4 ways, for example, as 264777984 + 849839104 = 16272^2 + 29152^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114617089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 90738 + ... + 102286.

It is an arithmetic number, because the mean of its divisors is an integer number (34428625).

Almost surely, 21114617088 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 1114617088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239430500).

1114617088 is an abundant number, since it is smaller than the sum of its proper divisors (1364243912).

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

1114617088 is a wasteful number, since it uses less digits than its factorization.

1114617088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

The square root of 1114617088 is about 33385.8815669139. The cubic root of 1114617088 is about 1036.8324133798.

The spelling of 1114617088 in words is "one billion, one hundred fourteen million, six hundred seventeen thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 754 832 928 1508 1664 1856 3016 3328 3712 6032 7424 11549 12064 23098 24128 46196 48256 92392 96512 150137 184784 300274 334921 369568 600548 669842 739136 1201096 1339684 1478272 2402192 2679368 2956544 4353973 4804384 5358736 8707946 9608768 10717472 17415892 19217536 21434944 34831784 38435072 42869888 69663568 85739776 139327136 278654272 557308544 1114617088