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11293240 = 235753761
BaseRepresentation
bin101011000101…
…001000111000
3210020202102011
4223011020320
510342340430
61042015304
7164663620
oct53051070
923222364
1011293240
116413862
123947534
1324553ba
1416dd880
15ed122a
hexac5238

11293240 has 64 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 3793920.

The previous prime is 11293237. The next prime is 11293241. The reversal of 11293240 is 4239211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14460 + ... + 15220.

It is an arithmetic number, because the mean of its divisors is an integer number (462915).

Almost surely, 211293240 is an apocalyptic number.

11293240 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 11293240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

11293240 is an abundant number, since it is smaller than the sum of its proper divisors (18333320).

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

11293240 is a wasteful number, since it uses less digits than its factorization.

11293240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 11293240 is about 3360.5416230126. The cubic root of 11293240 is about 224.3569457829.

The spelling of 11293240 in words is "eleven million, two hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 761 1060 1484 1522 1855 2120 2968 3044 3710 3805 5327 6088 7420 7610 10654 14840 15220 21308 26635 30440 40333 42616 53270 80666 106540 161332 201665 213080 282331 322664 403330 564662 806660 1129324 1411655 1613320 2258648 2823310 5646620 11293240