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11298816 = 21132613
BaseRepresentation
bin101011000110…
…100000000000
3210021001001200
4223012200000
510343030231
61042101200
7165016104
oct53064000
923231050
1011298816
116417a71
12394a800
132457ab9
141701904
15ed2be6
hexac6800

11298816 has 72 divisors (see below), whose sum is σ = 32686290. Its totient is φ = 3760128.

The previous prime is 11298811. The next prime is 11298823. The reversal of 11298816 is 61889211.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 9216 = 3360^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11298811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18126 + ... + 18738.

Almost surely, 211298816 is an apocalyptic number.

11298816 is a gapful number since it is divisible by the number (16) 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 11298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343145).

11298816 is an abundant number, since it is smaller than the sum of its proper divisors (21387474).

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

11298816 is an equidigital number, since it uses as much as digits as its factorization.

11298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 618 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11298816 is about 3361.3711488022. The cubic root of 11298816 is about 224.3938648746.

The spelling of 11298816 in words is "eleven million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 613 768 1024 1152 1226 1536 1839 2048 2304 2452 3072 3678 4608 4904 5517 6144 7356 9216 9808 11034 14712 18432 19616 22068 29424 39232 44136 58848 78464 88272 117696 156928 176544 235392 313856 353088 470784 627712 706176 941568 1255424 1412352 1883136 2824704 3766272 5649408 11298816