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11378080 = 255710159
BaseRepresentation
bin101011011001…
…110110100000
3210102001210101
4223121312200
510403044310
61043512144
7165466150
oct53316640
923361711
1011378080
11647157a
123988654
132484bbc
141722760
15eeb43a
hexad9da0

11378080 has 48 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3900672.

The previous prime is 11378071. The next prime is 11378099. The reversal of 11378080 is 8087311.

It is a happy number.

11378080 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 (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3960 + ... + 6199.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 211378080 is an apocalyptic number.

11378080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11378080 is an abundant number, since it is smaller than the sum of its proper divisors (19345760).

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

11378080 is a wasteful number, since it uses less digits than its factorization.

11378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 11378080 is about 3373.1409694823. The cubic root of 11378080 is about 224.9173688344.

The spelling of 11378080 in words is "eleven million, three hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10159 20318 40636 50795 71113 81272 101590 142226 162544 203180 284452 325088 355565 406360 568904 711130 812720 1137808 1422260 1625440 2275616 2844520 5689040 11378080