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4111052240 = 24537237537
BaseRepresentation
bin1111010100001001…
…1010110111010000
3101121111200002111002
43311002122313100
531404412132430
61515534041132
7203606240021
oct36502326720
911544602432
104111052240
11181a644439
129689491a8
135069349b9
142addc0c48
15190dae845
hexf509add0

4111052240 has 60 divisors (see below), whose sum is σ = 9823769676. Its totient is φ = 1599934464.

The previous prime is 4111052213. The next prime is 4111052261. The reversal of 4111052240 is 422501114.

It is a happy number.

4111052240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 471584656 + 3639467584 = 21716^2 + 60328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90752 + ... + 128288.

Almost surely, 24111052240 is an apocalyptic number.

4111052240 is a gapful number since it is divisible by the number (40) 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 4111052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911884838).

4111052240 is an abundant number, since it is smaller than the sum of its proper divisors (5712717436).

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

4111052240 is a wasteful number, since it uses less digits than its factorization.

4111052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37624 (or 37581 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4111052240 is about 64117.4877860947. The cubic root of 4111052240 is about 1601.9575311515.

Adding to 4111052240 its reverse (422501114), we get a palindrome (4533553354).

The spelling of 4111052240 in words is "four billion, one hundred eleven million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 21904 27380 37537 54760 75074 109520 150148 187685 300296 375370 600592 750740 1388869 1501480 2777738 3002960 5555476 6944345 11110952 13888690 22221904 27777380 51388153 55554760 102776306 111109520 205552612 256940765 411105224 513881530 822210448 1027763060 2055526120 4111052240