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6113800 = 2352711397
BaseRepresentation
bin10111010100101000001000
3102111121120001
4113110220020
53031120200
6335012344
7102652330
oct27245010
912447501
106113800
1134a6430
12206a0b4
131360a44
14b520c0
1580b76a
hex5d4a08

6113800 has 96 divisors (see below), whose sum is σ = 17766720. Its totient is φ = 1900800.

The previous prime is 6113753. The next prime is 6113803. The reversal of 6113800 is 83116.

6113800 = T439 + T440 + ... + T494.

It is not an unprimeable number, because it can be changed into a prime (6113803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15202 + ... + 15598.

It is an arithmetic number, because the mean of its divisors is an integer number (185070).

Almost surely, 26113800 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 6113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883360).

6113800 is an abundant number, since it is smaller than the sum of its proper divisors (11652920).

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

6113800 is a wasteful number, since it uses less digits than its factorization.

6113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 6113800 is about 2472.6099571101. The cubic root of 6113800 is about 182.8536957591.

Adding to 6113800 its reverse (83116), we get a palindrome (6196916).

It can be divided in two parts, 61 and 13800, that added together give a triangular number (13861 = T166).

The spelling of 6113800 in words is "six million, one hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 397 440 550 616 700 770 794 1100 1400 1540 1588 1925 1985 2200 2779 3080 3176 3850 3970 4367 5558 7700 7940 8734 9925 11116 13895 15400 15880 17468 19850 21835 22232 27790 30569 34936 39700 43670 55580 61138 69475 79400 87340 109175 111160 122276 138950 152845 174680 218350 244552 277900 305690 436700 555800 611380 764225 873400 1222760 1528450 3056900 6113800