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11252020 = 2251323329
BaseRepresentation
bin101010111011…
…000100110100
3210011122212111
4222323010310
510340031040
61041100404
7164432503
oct52730464
923148774
1011252020
11639589a
123927704
13243c700
1416cc83a
15ec3dea
hexabb134

11252020 has 36 divisors (see below), whose sum is σ = 25594380. Its totient is φ = 4153344.

The previous prime is 11251979. The next prime is 11252023. The reversal of 11252020 is 2025211.

11252020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2748964 + 8503056 = 1658^2 + 2916^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11252023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1716 + ... + 5044.

It is an arithmetic number, because the mean of its divisors is an integer number (710955).

Almost surely, 211252020 is an apocalyptic number.

11252020 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 11252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797190).

11252020 is an abundant number, since it is smaller than the sum of its proper divisors (14342360).

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

11252020 is a wasteful number, since it uses less digits than its factorization.

11252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11252020 is about 3354.4030765548. The cubic root of 11252020 is about 224.0836475439.

Adding to 11252020 its reverse (2025211), we get a palindrome (13277231).

The spelling of 11252020 in words is "eleven million, two hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3329 3380 6658 13316 16645 33290 43277 66580 86554 173108 216385 432770 562601 865540 1125202 2250404 2813005 5626010 11252020