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11242500 = 223541499
BaseRepresentation
bin101010111000…
…110000000100
3210011011210220
4222320300010
510334230000
61040544340
7164362653
oct52706004
923134726
1011242500
116389725
1239220b0
132438289
1416c919a
15ec11a0
hexab8c04

11242500 has 60 divisors (see below), whose sum is σ = 32802000. Its totient is φ = 2996000.

The previous prime is 11242481. The next prime is 11242501. The reversal of 11242500 is 524211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11242500.

It is not an unprimeable number, because it can be changed into a prime (11242501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6751 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (546700).

Almost surely, 211242500 is an apocalyptic number.

11242500 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 11242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401000).

11242500 is an abundant number, since it is smaller than the sum of its proper divisors (21559500).

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

11242500 is a wasteful number, since it uses less digits than its factorization.

11242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 11242500 is about 3352.9837458598. The cubic root of 11242500 is about 224.0204328725.

Adding to 11242500 its reverse (524211), we get a palindrome (11766711).

The spelling of 11242500 in words is "eleven million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1499 1500 1875 2500 2998 3750 4497 5996 7495 7500 8994 14990 17988 22485 29980 37475 44970 74950 89940 112425 149900 187375 224850 374750 449700 562125 749500 936875 1124250 1873750 2248500 2810625 3747500 5621250 11242500