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10068240 = 2435713461
BaseRepresentation
bin100110011010…
…000100010000
3200221112000210
4212122010100
510034140430
6555444120
7151402320
oct46320420
920845023
1010068240
115757466
123456640
132116950
1414a1280
15d3d2b0
hex99a110

10068240 has 160 divisors (see below), whose sum is σ = 38497536. Its totient is φ = 2119680.

The previous prime is 10068239. The next prime is 10068259. The reversal of 10068240 is 4286001.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 21610 + ... + 22070.

Almost surely, 210068240 is an apocalyptic number.

10068240 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 10068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248768).

10068240 is an abundant number, since it is smaller than the sum of its proper divisors (28429296).

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

10068240 is a wasteful number, since it uses less digits than its factorization.

10068240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10068240 is about 3173.0490068702. The cubic root of 10068240 is about 215.9324205597.

The spelling of 10068240 in words is "ten million, sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 461 520 546 560 624 728 780 840 910 922 1040 1092 1365 1383 1456 1560 1680 1820 1844 2184 2305 2730 2766 3120 3227 3640 3688 4368 4610 5460 5532 5993 6454 6915 7280 7376 9220 9681 10920 11064 11986 12908 13830 16135 17979 18440 19362 21840 22128 23972 25816 27660 29965 32270 35958 36880 38724 41951 47944 48405 51632 55320 59930 64540 71916 77448 83902 89895 95888 96810 110640 119860 125853 129080 143832 154896 167804 179790 193620 209755 239720 251706 258160 287664 335608 359580 387240 419510 479440 503412 629265 671216 719160 774480 839020 1006824 1258530 1438320 1678040 2013648 2517060 3356080 5034120 10068240