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11998368 = 25351543
BaseRepresentation
bin101101110001…
…010010100000
3211120120200000
4231301102200
511032421433
61105100000
7203661444
oct55612240
924516600
1011998368
116855608
124027600
132641335
141844824
1510c0113
hexb714a0

11998368 has 72 divisors (see below), whose sum is σ = 35407008. Its totient is φ = 3996864.

The previous prime is 11998303. The next prime is 11998369. The reversal of 11998368 is 86389911.

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

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 (11998369) 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, 7005 + ... + 8547.

It is an arithmetic number, because the mean of its divisors is an integer number (491764).

Almost surely, 211998368 is an apocalyptic number.

11998368 is a gapful number since it is divisible by the number (18) 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 11998368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703504).

11998368 is an abundant number, since it is smaller than the sum of its proper divisors (23408640).

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

11998368 is an equidigital number, since it uses as much as digits as its factorization.

11998368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1548 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 11998368 is about 3463.8660482184. The cubic root of 11998368 is about 228.9324692977.

The spelling of 11998368 in words is "eleven million, nine hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1543 1944 2592 3086 3888 4629 6172 7776 9258 12344 13887 18516 24688 27774 37032 41661 49376 55548 74064 83322 111096 124983 148128 166644 222192 249966 333288 374949 444384 499932 666576 749898 999864 1333152 1499796 1999728 2999592 3999456 5999184 11998368