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11968060 = 22513191241
BaseRepresentation
bin101101101001…
…111000111100
3211112001002111
4231221320330
511030434220
61104303404
7203504206
oct55517074
924461074
1011968060
116834865
124011b64
1326305c0
141837776
1510b615a
hexb69e3c

11968060 has 48 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 4377600.

The previous prime is 11968049. The next prime is 11968063. The reversal of 11968060 is 6086911.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49540 + ... + 49780.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 211968060 is an apocalyptic number.

11968060 is a gapful number since it is divisible by the number (10) 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 11968060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

11968060 is an abundant number, since it is smaller than the sum of its proper divisors (15352772).

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

11968060 is a wasteful number, since it uses less digits than its factorization.

11968060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 11968060 is about 3459.4884014837. The cubic root of 11968060 is about 228.7395448455.

The spelling of 11968060 in words is "eleven million, nine hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 241 260 382 482 764 955 964 1205 1910 2410 2483 3133 3820 4820 4966 6266 9932 12415 12532 15665 24830 31330 46031 49660 62660 92062 184124 230155 460310 598403 920620 1196806 2393612 2992015 5984030 11968060