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13946310 = 2335747157
BaseRepresentation
bin110101001100…
…110111000110
3222020112202000
4311030313012
512032240220
61214530130
7226353540
oct65146706
928215660
1013946310
117966084
124806946
132b73b71
141bd0690
151357390
hexd4cdc6

13946310 has 128 divisors (see below), whose sum is σ = 43683840. Its totient is φ = 3100032.

The previous prime is 13946297. The next prime is 13946321. The reversal of 13946310 is 1364931.

It is a super-2 number, since 2×139463102 = 388999125232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88752 + ... + 88908.

It is an arithmetic number, because the mean of its divisors is an integer number (341280).

Almost surely, 213946310 is an apocalyptic number.

13946310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13946310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841920).

13946310 is an abundant number, since it is smaller than the sum of its proper divisors (29737530).

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

13946310 is a wasteful number, since it uses less digits than its factorization.

13946310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13946310 is about 3734.4758668386. The cubic root of 13946310 is about 240.7057352068.

The spelling of 13946310 in words is "thirteen million, nine hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 90 94 105 126 135 141 157 189 210 235 270 282 314 315 329 378 423 470 471 630 658 705 785 846 942 945 987 1099 1269 1410 1413 1570 1645 1890 1974 2115 2198 2355 2538 2826 2961 3290 3297 4230 4239 4710 4935 5495 5922 6345 6594 7065 7379 8478 8883 9870 9891 10990 12690 14130 14758 14805 16485 17766 19782 21195 22137 29610 29673 32970 36895 42390 44274 44415 49455 51653 59346 66411 73790 88830 98910 103306 110685 132822 148365 154959 199233 221370 258265 296730 309918 332055 398466 464877 516530 664110 774795 929754 996165 1394631 1549590 1992330 2324385 2789262 4648770 6973155 13946310