Search a number
-
+
6117240 = 2335192683
BaseRepresentation
bin10111010101011101111000
3102111210021110
4113111131320
53031222430
6335040320
7102665343
oct27253570
912453243
106117240
1134a8a78
1220700a0
13136248c
14b5345a
1580c7b0
hex5d5778

6117240 has 64 divisors (see below), whose sum is σ = 19324800. Its totient is φ = 1544832.

The previous prime is 6117239. The next prime is 6117253. The reversal of 6117240 is 427116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939 + ... + 3621.

It is an arithmetic number, because the mean of its divisors is an integer number (301950).

Almost surely, 26117240 is an apocalyptic number.

6117240 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 6117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662400).

6117240 is an abundant number, since it is smaller than the sum of its proper divisors (13207560).

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

6117240 is a wasteful number, since it uses less digits than its factorization.

6117240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 6117240 is about 2473.3054805260. The cubic root of 6117240 is about 182.8879842417.

The spelling of 6117240 in words is "six million, one hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 2683 5366 8049 10732 13415 16098 21464 26830 32196 40245 50977 53660 64392 80490 101954 107320 152931 160980 203908 254885 305862 321960 407816 509770 611724 764655 1019540 1223448 1529310 2039080 3058620 6117240