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11298144 = 2531113823
BaseRepresentation
bin101011000110…
…010101100000
3210021000010210
4223012111200
510343020034
61042054120
7165014124
oct53062540
923230123
1011298144
116417510
12394a340
1324576c0
141701584
15ed28e9
hexac6560

11298144 has 96 divisors (see below), whose sum is σ = 34884864. Its totient is φ = 3156480.

The previous prime is 11298127. The next prime is 11298181. The reversal of 11298144 is 44189211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13317 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (363384).

Almost surely, 211298144 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 11298144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442432).

11298144 is an abundant number, since it is smaller than the sum of its proper divisors (23586720).

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

11298144 is a wasteful number, since it uses less digits than its factorization.

11298144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11298144 is about 3361.2711881073. The cubic root of 11298144 is about 224.3894161587.

The spelling of 11298144 in words is "eleven million, two hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 823 858 1056 1144 1248 1646 1716 2288 2469 3292 3432 4576 4938 6584 6864 9053 9876 10699 13168 13728 18106 19752 21398 26336 27159 32097 36212 39504 42796 54318 64194 72424 79008 85592 108636 117689 128388 144848 171184 217272 235378 256776 289696 342368 353067 434544 470756 513552 706134 869088 941512 1027104 1412268 1883024 2824536 3766048 5649072 11298144