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114264060 = 22352997677
BaseRepresentation
bin1101100111110…
…00011111111100
321222000012211020
412303320133330
5213222422220
615201024140
72555141241
oct663703774
9258005736
10114264060
1159554309
1232325050
131a899191
14112655c8
15a071040
hex6cf87fc

114264060 has 96 divisors (see below), whose sum is σ = 334877760. Its totient is φ = 29073408.

The previous prime is 114264049. The next prime is 114264071. The reversal of 114264060 is 60462411.

It is an interprime number because it is at equal distance from previous prime (114264049) and next prime (114264071).

It is a self number, because there is not a number n which added to its sum of digits gives 114264060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168442 + ... + 169118.

It is an arithmetic number, because the mean of its divisors is an integer number (3488310).

Almost surely, 2114264060 is an apocalyptic number.

114264060 is a gapful number since it is divisible by the number (10) 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 114264060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167438880).

114264060 is an abundant number, since it is smaller than the sum of its proper divisors (220613700).

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

114264060 is a wasteful number, since it uses less digits than its factorization.

114264060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114264060 is about 10689.4368420418. The cubic root of 114264060 is about 485.2548488811.

It can be divided in two parts, 1142640 and 60, that multiplied together give a square (68558400 = 82802).

The spelling of 114264060 in words is "one hundred fourteen million, two hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 97 116 145 174 194 290 291 348 388 435 485 580 582 677 870 970 1164 1354 1455 1740 1940 2031 2708 2813 2910 3385 4062 5626 5820 6770 8124 8439 10155 11252 13540 14065 16878 19633 20310 28130 33756 39266 40620 42195 56260 58899 65669 78532 84390 98165 117798 131338 168780 196330 197007 235596 262676 294495 328345 392660 394014 588990 656690 788028 985035 1177980 1313380 1904401 1970070 3808802 3940140 5713203 7617604 9522005 11426406 19044010 22852812 28566015 38088020 57132030 114264060