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11376680 = 235741991
BaseRepresentation
bin101011011001…
…100000101000
3210101222212112
4223121200220
510403023210
61043501452
7165462110
oct53314050
923358775
1011376680
116470517
123987888
132484383
141722040
15eead05
hexad9828

11376680 has 64 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3801600.

The previous prime is 11376661. The next prime is 11376707. The reversal of 11376680 is 8667311.

It is a super-3 number, since 3×113766803 (a number of 22 digits) contains 333 as substring.

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, 10985 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 211376680 is an apocalyptic number.

11376680 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 11376680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11376680 is an abundant number, since it is smaller than the sum of its proper divisors (18621400).

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

11376680 is a wasteful number, since it uses less digits than its factorization.

11376680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 11376680 is about 3372.9334413830. The cubic root of 11376680 is about 224.9081435746.

The spelling of 11376680 in words is "eleven million, three hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 991 1148 1435 1640 1982 2296 2870 3964 4955 5740 6937 7928 9910 11480 13874 19820 27748 34685 39640 40631 55496 69370 81262 138740 162524 203155 277480 284417 325048 406310 568834 812620 1137668 1422085 1625240 2275336 2844170 5688340 11376680