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11898768 = 243725059
BaseRepresentation
bin101101011000…
…111110010000
3211101112001010
4231120332100
511021230033
61103010520
7203065200
oct55307620
924345033
1011898768
1167977a2
123b99a40
132607bbb
14181a400
1510a0863
hexb58f90

11898768 has 60 divisors (see below), whose sum is σ = 35764080. Its totient is φ = 3398976.

The previous prime is 11898763. The next prime is 11898791. The reversal of 11898768 is 86789811.

11898768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11898763) 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, 178 + ... + 4881.

It is an arithmetic number, because the mean of its divisors is an integer number (596068).

Almost surely, 211898768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11898768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882040).

11898768 is an abundant number, since it is smaller than the sum of its proper divisors (23865312).

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

11898768 is a wasteful number, since it uses less digits than its factorization.

11898768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5071 counting only the distinct ones).

The product of its digits is 193536, while the sum is 48.

The square root of 11898768 is about 3449.4590880310. The cubic root of 11898768 is about 228.2972423584.

The spelling of 11898768 in words is "eleven million, eight hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5059 10118 15177 20236 30354 35413 40472 60708 70826 80944 106239 121416 141652 212478 242832 247891 283304 424956 495782 566608 743673 849912 991564 1487346 1699824 1983128 2974692 3966256 5949384 11898768