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11252040 = 2335412287
BaseRepresentation
bin101010111011…
…000101001000
3210011122220020
4222323011020
510340031130
61041100440
7164432532
oct52730510
923148806
1011252040
116395908
123927720
13243c717
1416cc852
15ec3e10
hexabb148

11252040 has 64 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 2926080.

The previous prime is 11252027. The next prime is 11252051. The reversal of 11252040 is 4025211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3777 + ... + 6063.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 211252040 is an apocalyptic number.

11252040 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 11252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

11252040 is an abundant number, since it is smaller than the sum of its proper divisors (23342520).

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

11252040 is a wasteful number, since it uses less digits than its factorization.

11252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2338 counting only the distinct ones).

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

The square root of 11252040 is about 3354.4060577098. The cubic root of 11252040 is about 224.0837803103.

Adding to 11252040 its reverse (4025211), we get a palindrome (15277251).

The spelling of 11252040 in words is "eleven million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2287 2460 4574 4920 6861 9148 11435 13722 18296 22870 27444 34305 45740 54888 68610 91480 93767 137220 187534 274440 281301 375068 468835 562602 750136 937670 1125204 1406505 1875340 2250408 2813010 3750680 5626020 11252040