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11293140 = 2235375087
BaseRepresentation
bin101011000101…
…000111010100
3210020202021110
4223011013110
510342340030
61042015020
7164663415
oct53050724
923222243
1011293140
116413781
123947470
132455341
1416dd80c
15ed11b0
hexac51d4

11293140 has 48 divisors (see below), whose sum is σ = 32481792. Its totient is φ = 2929536.

The previous prime is 11293123. The next prime is 11293141. The reversal of 11293140 is 4139211.

It is a super-2 number, since 2×112931402 = 255070022119200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293141) by changing a digit.

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, 324 + ... + 4763.

It is an arithmetic number, because the mean of its divisors is an integer number (676704).

Almost surely, 211293140 is an apocalyptic number.

11293140 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 11293140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240896).

11293140 is an abundant number, since it is smaller than the sum of its proper divisors (21188652).

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

11293140 is a wasteful number, since it uses less digits than its factorization.

11293140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11293140 is about 3360.5267444256. The cubic root of 11293140 is about 224.3562835649.

The spelling of 11293140 in words is "eleven million, two hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5087 10174 15261 20348 25435 30522 50870 61044 76305 101740 152610 188219 305220 376438 564657 752876 941095 1129314 1882190 2258628 2823285 3764380 5646570 11293140