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11064840 = 23351923211
BaseRepresentation
bin101010001101…
…011000001000
3202211011002220
4222031120020
510313033330
61033054040
7163023003
oct52153010
922734086
1011064840
1162781a6
123857320
1323a5457
14168053a
15e88710
hexa8d608

11064840 has 128 divisors (see below), whose sum is σ = 36633600. Its totient is φ = 2661120.

The previous prime is 11064839. The next prime is 11064857. The reversal of 11064840 is 4846011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11064840.

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, 52335 + ... + 52545.

It is an arithmetic number, because the mean of its divisors is an integer number (286200).

Almost surely, 211064840 is an apocalyptic number.

11064840 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 11064840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316800).

11064840 is an abundant number, since it is smaller than the sum of its proper divisors (25568760).

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

11064840 is a wasteful number, since it uses less digits than its factorization.

11064840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11064840 is about 3326.3854256535. The cubic root of 11064840 is about 222.8341316524.

The spelling of 11064840 in words is "eleven million, sixty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 211 228 230 276 285 345 380 422 437 456 460 552 570 633 690 760 844 874 920 1055 1140 1266 1311 1380 1688 1748 2110 2185 2280 2532 2622 2760 3165 3496 4009 4220 4370 4853 5064 5244 6330 6555 8018 8440 8740 9706 10488 12027 12660 13110 14559 16036 17480 19412 20045 24054 24265 25320 26220 29118 32072 38824 40090 48108 48530 52440 58236 60135 72795 80180 92207 96216 97060 116472 120270 145590 160360 184414 194120 240540 276621 291180 368828 461035 481080 553242 582360 737656 922070 1106484 1383105 1844140 2212968 2766210 3688280 5532420 11064840