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11025072 = 243447181
BaseRepresentation
bin101010000011…
…101010110000
3202202010120000
4222003222300
510310300242
61032150000
7162466032
oct52035260
922663500
1011025072
116250333
123838300
132390316
14166dc52
15e7ba4c
hexa83ab0

11025072 has 100 divisors (see below), whose sum is σ = 32768736. Its totient is φ = 3576960.

The previous prime is 11025067. The next prime is 11025089. The reversal of 11025072 is 27052011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60822 + ... + 61002.

Almost surely, 211025072 is an apocalyptic number.

11025072 is a gapful number since it is divisible by the number (12) 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 11025072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384368).

11025072 is an abundant number, since it is smaller than the sum of its proper divisors (21743664).

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

11025072 is a wasteful number, since it uses less digits than its factorization.

11025072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

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

The square root of 11025072 is about 3320.4023852539. The cubic root of 11025072 is about 222.5668494163.

Adding to 11025072 its reverse (27052011), we get a palindrome (38077083).

The spelling of 11025072 in words is "eleven million, twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 181 188 216 282 324 362 376 423 432 543 564 648 724 752 846 1086 1128 1269 1296 1448 1629 1692 2172 2256 2538 2896 3258 3384 3807 4344 4887 5076 6516 6768 7614 8507 8688 9774 10152 13032 14661 15228 17014 19548 20304 25521 26064 29322 30456 34028 39096 51042 58644 60912 68056 76563 78192 102084 117288 136112 153126 204168 229689 234576 306252 408336 459378 612504 689067 918756 1225008 1378134 1837512 2756268 3675024 5512536 11025072