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11073024 = 293589
BaseRepresentation
bin101010001111…
…011000000000
3202211120100000
4222033120000
510313314044
61033200000
7163055604
oct52173000
922746300
1011073024
116283366
123860000
1323a90b1
141683504
15e8ad69
hexa8f600

11073024 has 120 divisors (see below), whose sum is σ = 33513480. Its totient is φ = 3649536.

The previous prime is 11073019. The next prime is 11073047. The reversal of 11073024 is 42037011.

It is a super-2 number, since 2×110730242 = 245223721009152, 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 = 11072988 and 11073006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124372 + ... + 124460.

It is an arithmetic number, because the mean of its divisors is an integer number (279279).

Almost surely, 211073024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740).

11073024 is an abundant number, since it is smaller than the sum of its proper divisors (22440456).

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

11073024 is an frugal number, since it uses more digits than its factorization.

11073024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

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

The square root of 11073024 is about 3327.6153623879. The cubic root of 11073024 is about 222.8890571370.

The spelling of 11073024 in words is "eleven million, seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 243 256 267 288 324 356 384 432 486 512 534 576 648 712 768 801 864 972 1068 1152 1296 1424 1536 1602 1728 1944 2136 2304 2403 2592 2848 3204 3456 3888 4272 4608 4806 5184 5696 6408 6912 7209 7776 8544 9612 10368 11392 12816 13824 14418 15552 17088 19224 20736 21627 22784 25632 28836 31104 34176 38448 41472 43254 45568 51264 57672 62208 68352 76896 86508 102528 115344 124416 136704 153792 173016 205056 230688 307584 346032 410112 461376 615168 692064 922752 1230336 1384128 1845504 2768256 3691008 5536512 11073024