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6114024 = 2332721733
BaseRepresentation
bin10111010100101011101000
3102111121212100
4113110223220
53031122044
6335013400
7102653100
oct27245350
912447770
106114024
1134a6614
12206a260
131360b87
14b52200
1580b869
hex5d4ae8

6114024 has 72 divisors (see below), whose sum is σ = 19273410. Its totient is φ = 1745856.

The previous prime is 6114019. The next prime is 6114049. The reversal of 6114024 is 4204116.

6114024 is digitally balanced in base 5, 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 only one way, i.e., 5336100 + 777924 = 2310^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6113988 and 6114006.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2662 + ... + 4394.

Almost surely, 26114024 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 6114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9636705).

6114024 is an abundant number, since it is smaller than the sum of its proper divisors (13159386).

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

6114024 is a wasteful number, since it uses less digits than its factorization.

6114024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6114024 is about 2472.6552529619. The cubic root of 6114024 is about 182.8559288889.

The spelling of 6114024 in words is "six million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1733 1764 3466 3528 5199 6932 10398 12131 13864 15597 20796 24262 31194 36393 41592 48524 62388 72786 84917 97048 109179 124776 145572 169834 218358 254751 291144 339668 436716 509502 679336 764253 873432 1019004 1528506 2038008 3057012 6114024