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1114138872 = 23327211191511
BaseRepresentation
bin100001001101000…
…0110100011111000
32212122110010012200
41002122012203320
54240204420442
6302315510200
736416011200
oct10232064370
92778403180
101114138872
115219a2030
12271158360
13149a91392
14a7d7d400
1567c2a34c
hex426868f8

1114138872 has 288 divisors, whose sum is σ = 4033411200. Its totient is φ = 273974400.

The previous prime is 1114138859. The next prime is 1114138873. The reversal of 1114138872 is 2788314111.

It is a super-2 number, since 2×11141388722 = 2482610852202864768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114138873) 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 71 ways as a sum of consecutive naturals, for example, 736597 + ... + 738107.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 21114138872 is an apocalyptic number.

1114138872 is a gapful number since it is divisible by the number (12) 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 1114138872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

1114138872 is an abundant number, since it is smaller than the sum of its proper divisors (2919272328).

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

1114138872 is a wasteful number, since it uses less digits than its factorization.

1114138872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1553 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 1114138872 is about 33378.7188489912. The cubic root of 1114138872 is about 1036.6841110967.

The spelling of 1114138872 in words is "one billion, one hundred fourteen million, one hundred thirty-eight thousand, eight hundred seventy-two".