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6116040 = 233357809
BaseRepresentation
bin10111010101001011001000
3102111201122000
4113111023020
53031203130
6335031000
7102662010
oct27251310
912451560
106116040
1134a8087
12206b460
131361a78
14b52c40
1580c260
hex5d52c8

6116040 has 128 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 1396224.

The previous prime is 6116029. The next prime is 6116051. The reversal of 6116040 is 406116.

6116040 is a `hidden beast` number, since 61 + 1 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6116029) and next prime (6116051).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7156 + ... + 7964.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 26116040 is an apocalyptic number.

6116040 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 6116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

6116040 is an abundant number, since it is smaller than the sum of its proper divisors (17211960).

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

6116040 is a wasteful number, since it uses less digits than its factorization.

6116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6116040 is about 2473.0628782948. The cubic root of 6116040 is about 182.8760246034.

The spelling of 6116040 in words is "six million, one hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 809 840 945 1080 1260 1512 1618 1890 2427 2520 3236 3780 4045 4854 5663 6472 7281 7560 8090 9708 11326 12135 14562 16180 16989 19416 21843 22652 24270 28315 29124 32360 33978 36405 43686 45304 48540 50967 56630 58248 67956 72810 84945 87372 97080 101934 109215 113260 135912 145620 152901 169890 174744 203868 218430 226520 254835 291240 305802 339780 407736 436860 509670 611604 679560 764505 873720 1019340 1223208 1529010 2038680 3058020 6116040