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6113100 = 2235274171
BaseRepresentation
bin10111010100011101001100
3102111120121010
4113110131030
53031104400
6335005220
7102650310
oct27243514
912446533
106113100
1134a5954
122069810
131360626
14b51b40
1580b450
hex5d474c

6113100 has 144 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 1344000.

The previous prime is 6113087. The next prime is 6113111. The reversal of 6113100 is 13116.

It is a super-2 number, since 2×61131002 = 74739983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86065 + ... + 86135.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 26113100 is an apocalyptic number.

6113100 is a gapful number since it is divisible by the number (60) 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 6113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

6113100 is an abundant number, since it is smaller than the sum of its proper divisors (14885556).

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

6113100 is a wasteful number, since it uses less digits than its factorization.

6113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 6113100 is about 2472.4684022248. The cubic root of 6113100 is about 182.8467168767.

Adding to 6113100 its reverse (13116), we get a palindrome (6126216).

The spelling of 6113100 in words is "six million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 71 75 82 84 100 105 123 140 142 150 164 175 205 210 213 246 284 287 300 350 355 410 420 426 492 497 525 574 615 700 710 820 852 861 994 1025 1050 1065 1148 1230 1420 1435 1491 1722 1775 1988 2050 2100 2130 2460 2485 2870 2911 2982 3075 3444 3550 4100 4260 4305 4970 5325 5740 5822 5964 6150 7100 7175 7455 8610 8733 9940 10650 11644 12300 12425 14350 14555 14910 17220 17466 20377 21300 21525 24850 28700 29110 29820 34932 37275 40754 43050 43665 49700 58220 61131 72775 74550 81508 86100 87330 101885 122262 145550 149100 174660 203770 218325 244524 291100 305655 407540 436650 509425 611310 873300 1018850 1222620 1528275 2037700 3056550 6113100