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11280335940 = 2233561342451
BaseRepresentation
bin10101000000101110…
…00100010001000100
31002010010221102212000
422200113010101010
5141100231222230
65103200425300
7546352162536
oct124027042104
932103842760
1011280335940
114869501395
122229918230
1310aa02bbc3
14790205856
154604b6b60
hex2a05c4444

11280335940 has 96 divisors (see below), whose sum is σ = 35669800320. Its totient is φ = 2958768000.

The previous prime is 11280335933. The next prime is 11280335951. The reversal of 11280335940 is 4953308211.

11280335940 is a `hidden beast` number, since 1 + 1 + 280 + 335 + 9 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11280335895 and 11280335904.

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 31 ways as a sum of consecutive naturals, for example, 138286 + ... + 204165.

It is an arithmetic number, because the mean of its divisors is an integer number (371560420).

Almost surely, 211280335940 is an apocalyptic number.

11280335940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11280335940 is an abundant number, since it is smaller than the sum of its proper divisors (24389464380).

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

11280335940 is a wasteful number, since it uses less digits than its factorization.

11280335940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342530 (or 342522 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11280335940 in words is "eleven billion, two hundred eighty million, three hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 342451 684902 1027353 1369804 1712255 2054706 3082059 3424510 4109412 5136765 6164118 6849020 9246177 10273530 12328236 15410295 18492354 20547060 20889511 30820590 36984708 41779022 46230885 61641180 62668533 83558044 92461770 104447555 125337066 184923540 188005599 208895110 250674132 313342665 376011198 417790220 564016797 626685330 752022396 940027995 1128033594 1253370660 1880055990 2256067188 2820083985 3760111980 5640167970 11280335940