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11898216 = 23321183181
BaseRepresentation
bin101101011000…
…110101101000
3211101111021200
4231120311220
511021220331
61103004200
7203063451
oct55306550
924344250
1011898216
116797340
123b99660
132607885
14181a128
1510a05e6
hexb58d68

11898216 has 96 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 3542400.

The previous prime is 11898193. The next prime is 11898221. The reversal of 11898216 is 61289811.

11898216 is digitally balanced in base 2, because in such base 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 (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65646 + ... + 65826.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 211898216 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 11898216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

11898216 is an abundant number, since it is smaller than the sum of its proper divisors (23875704).

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

11898216 is a wasteful number, since it uses less digits than its factorization.

11898216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

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

The square root of 11898216 is about 3449.3790745582. The cubic root of 11898216 is about 228.2937119641.

The spelling of 11898216 in words is "eleven million, eight hundred ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 181 198 249 264 332 362 396 498 543 664 724 747 792 913 996 1086 1448 1494 1629 1826 1991 1992 2172 2739 2988 3258 3652 3982 4344 5478 5973 5976 6516 7304 7964 8217 10956 11946 13032 15023 15928 16434 17919 21912 23892 30046 32868 35838 45069 47784 60092 65736 71676 90138 120184 135207 143352 165253 180276 270414 330506 360552 495759 540828 661012 991518 1081656 1322024 1487277 1983036 2974554 3966072 5949108 11898216