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11072700 = 2234521367
BaseRepresentation
bin101010001111…
…010010111100
3202211112220000
4222033102330
510313311300
61033154300
7163054632
oct52172274
922745800
1011072700
1162830a1
12385b990
1323a8bc2
141683352
15e8ac00
hexa8f4bc

11072700 has 90 divisors (see below), whose sum is σ = 35919576. Its totient is φ = 2950560.

The previous prime is 11072689. The next prime is 11072701. The reversal of 11072700 is 727011.

It is a tau number, because it is divible by the number of its divisors (90).

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 (11072701) 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 29 ways as a sum of consecutive naturals, for example, 7417 + ... + 8783.

Almost surely, 211072700 is an apocalyptic number.

11072700 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 11072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959788).

11072700 is an abundant number, since it is smaller than the sum of its proper divisors (24846876).

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

11072700 is a wasteful number, since it uses less digits than its factorization.

11072700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 11072700 is about 3327.5666785205. The cubic root of 11072700 is about 222.8868831823.

Adding to 11072700 its reverse (727011), we get a palindrome (11799711).

It can be divided in two parts, 1 and 1072700, that added together give a palindrome (1072701).

The spelling of 11072700 in words is "eleven million, seventy-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1367 1620 2025 2700 2734 4050 4101 5468 6835 8100 8202 12303 13670 16404 20505 24606 27340 34175 36909 41010 49212 61515 68350 73818 82020 102525 110727 123030 136700 147636 184545 205050 221454 246060 307575 369090 410100 442908 553635 615150 738180 922725 1107270 1230300 1845450 2214540 2768175 3690900 5536350 11072700