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11398240 = 255710177
BaseRepresentation
bin101011011110…
…110001100000
3210110002110001
4223132301200
510404220430
61044145344
7165612010
oct53366140
923402401
1011398240
116485737
123998254
132491129
141729c40
1510023ca
hexadec60

11398240 has 48 divisors (see below), whose sum is σ = 30778272. Its totient is φ = 3907584.

The previous prime is 11398237. The next prime is 11398243. The reversal of 11398240 is 4289311.

It is a happy number.

11398240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11398237) and next prime (11398243).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11398199 and 11398208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11398243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3969 + ... + 6208.

It is an arithmetic number, because the mean of its divisors is an integer number (641214).

Almost surely, 211398240 is an apocalyptic number.

11398240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11398240 is an abundant number, since it is smaller than the sum of its proper divisors (19380032).

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

11398240 is a wasteful number, since it uses less digits than its factorization.

11398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11398240 is about 3376.1279596603. The cubic root of 11398240 is about 225.0501287485.

The spelling of 11398240 in words is "eleven million, three hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10177 20354 40708 50885 71239 81416 101770 142478 162832 203540 284956 325664 356195 407080 569912 712390 814160 1139824 1424780 1628320 2279648 2849560 5699120 11398240