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11340720 = 2432519829
BaseRepresentation
bin101011010000…
…101110110000
3210100011112200
4223100232300
510400400340
61043023200
7165252216
oct53205660
923304480
1011340720
1164464a6
12396ab00
132470bb1
141712cb6
15ee0330
hexad0bb0

11340720 has 120 divisors (see below), whose sum is σ = 40138800. Its totient is φ = 2861568.

The previous prime is 11340709. The next prime is 11340733. The reversal of 11340720 is 2704311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×113407202 = 257223860236800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11340693 and 11340702.

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 23 ways as a sum of consecutive naturals, for example, 13266 + ... + 14094.

It is an arithmetic number, because the mean of its divisors is an integer number (334490).

Almost surely, 211340720 is an apocalyptic number.

11340720 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 11340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069400).

11340720 is an abundant number, since it is smaller than the sum of its proper divisors (28798080).

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

11340720 is a wasteful number, since it uses less digits than its factorization.

11340720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11340720 is about 3367.5985508965. The cubic root of 11340720 is about 224.6709263555.

The spelling of 11340720 in words is "eleven million, three hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 829 855 912 1140 1368 1520 1658 1710 2280 2487 2736 3316 3420 4145 4560 4974 6632 6840 7461 8290 9948 12435 13264 13680 14922 15751 16580 19896 24870 29844 31502 33160 37305 39792 47253 49740 59688 63004 66320 74610 78755 94506 99480 119376 126008 141759 149220 157510 189012 198960 236265 252016 283518 298440 315020 378024 472530 567036 596880 630040 708795 756048 945060 1134072 1260080 1417590 1890120 2268144 2835180 3780240 5670360 11340720