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11075040 = 253257691
BaseRepresentation
bin101010001111…
…110111100000
3202211200002200
4222033313200
510313400130
61033213200
7163064514
oct52176740
922750080
1011075040
116284929
123861200
1323a9ca2
141684144
15e8b760
hexa8fde0

11075040 has 72 divisors (see below), whose sum is σ = 37798488. Its totient is φ = 2952960.

The previous prime is 11075023. The next prime is 11075047. The reversal of 11075040 is 4057011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×110750402 = 245313022003200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2406 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (524979).

Almost surely, 211075040 is an apocalyptic number.

11075040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11075040 is an abundant number, since it is smaller than the sum of its proper divisors (26723448).

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

11075040 is a wasteful number, since it uses less digits than its factorization.

11075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11075040 is about 3327.9182682272. The cubic root of 11075040 is about 222.9025830137.

The spelling of 11075040 in words is "eleven million, seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7691 15382 23073 30764 38455 46146 61528 69219 76910 92292 115365 123056 138438 153820 184584 230730 246112 276876 307640 346095 369168 461460 553752 615280 692190 738336 922920 1107504 1230560 1384380 1845840 2215008 2768760 3691680 5537520 11075040