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11450820 = 22351391373
BaseRepresentation
bin101011101011…
…100111000100
3210112202120110
4223223213010
510412411240
61045233020
7166221213
oct53534704
923482513
1011450820
116511197
123a02770
1324ac044
14174107a
151012c80
hexaeb9c4

11450820 has 48 divisors (see below), whose sum is σ = 32316480. Its totient is φ = 3029376.

The previous prime is 11450807. The next prime is 11450821. The reversal of 11450820 is 2805411.

It is a super-2 number, since 2×114508202 = 262242557344800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11450821) 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 15 ways as a sum of consecutive naturals, for example, 7654 + ... + 9026.

It is an arithmetic number, because the mean of its divisors is an integer number (673260).

Almost surely, 211450820 is an apocalyptic number.

11450820 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 11450820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158240).

11450820 is an abundant number, since it is smaller than the sum of its proper divisors (20865660).

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

11450820 is a wasteful number, since it uses less digits than its factorization.

11450820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 11450820 is about 3383.9060270640. The cubic root of 11450820 is about 225.3956495443.

The spelling of 11450820 in words is "eleven million, four hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1373 1390 1668 2085 2746 2780 4119 4170 5492 6865 8238 8340 13730 16476 20595 27460 41190 82380 190847 381694 572541 763388 954235 1145082 1908470 2290164 2862705 3816940 5725410 11450820