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2023116040 = 2351114930859
BaseRepresentation
bin111100010010110…
…0100110100001000
312012222211221110201
41320211210310020
513120404203130
6532430221544
7101064126331
oct17045446410
95188757421
102023116040
11948aa6030
124856548b4
132631abbaa
14152995288
15bc92bbca
hex78964d08

2023116040 has 64 divisors (see below), whose sum is σ = 4999320000. Its totient is φ = 730717440.

The previous prime is 2023116037. The next prime is 2023116047. The reversal of 2023116040 is 406113202.

It is a super-2 number, since 2×20231160402 = 8185997022610563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023115999 and 2023116017.

It is not an unprimeable number, because it can be changed into a prime (2023116047) 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 15 ways as a sum of consecutive naturals, for example, 50131 + ... + 80989.

It is an arithmetic number, because the mean of its divisors is an integer number (78114375).

Almost surely, 22023116040 is an apocalyptic number.

2023116040 is a gapful number since it is divisible by the number (20) 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 2023116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499660000).

2023116040 is an abundant number, since it is smaller than the sum of its proper divisors (2976203960).

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

2023116040 is a wasteful number, since it uses less digits than its factorization.

2023116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31030 (or 31026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2023116040 is about 44979.0622401135. The cubic root of 2023116040 is about 1264.7565321668.

Adding to 2023116040 its reverse (406113202), we get a palindrome (2429229242).

The spelling of 2023116040 in words is "two billion, twenty-three million, one hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2980 3278 5960 6556 8195 13112 16390 30859 32780 61718 65560 123436 154295 246872 308590 339449 617180 678898 1234360 1357796 1697245 2715592 3394490 4597991 6788980 9195982 13577960 18391964 22989955 36783928 45979910 50577901 91959820 101155802 183919640 202311604 252889505 404623208 505779010 1011558020 2023116040