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11298540 = 223511171953
BaseRepresentation
bin101011000110…
…011011101100
3210021000200110
4223012123230
510343023130
61042100020
7165015231
oct53063354
923230613
1011298540
116417840
12394a610
132457936
141701788
15ed2ab0
hexac66ec

11298540 has 192 divisors, whose sum is σ = 39191040. Its totient is φ = 2396160.

The previous prime is 11298517. The next prime is 11298569. The reversal of 11298540 is 4589211.

It is a happy number.

It is a super-2 number, since 2×112985402 = 255314012263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11298498 and 11298507.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 213154 + ... + 213206.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 211298540 is an apocalyptic number.

11298540 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 11298540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

11298540 is an abundant number, since it is smaller than the sum of its proper divisors (27892500).

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

11298540 is a wasteful number, since it uses less digits than its factorization.

11298540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 11298540 is about 3361.3300938765. The cubic root of 11298540 is about 224.3920377448.

It can be divided in two parts, 1129 and 8540, that added together give a palindrome (9669).

The spelling of 11298540 in words is "eleven million, two hundred ninety-eight thousand, five hundred forty".