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11378840 = 2351122351
BaseRepresentation
bin101011011010…
…000010011000
3210102002211112
4223122002120
510403110330
61043515452
7165501314
oct53320230
923362745
1011378840
116472100
123988b88
132485355
141722b44
15eeb795
hexada098

11378840 has 48 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 4136000.

The previous prime is 11378839. The next prime is 11378849. The reversal of 11378840 is 4887311.

It is a junction number, because it is equal to n+sod(n) for n = 11378797 and 11378806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378849) 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, 3665 + ... + 6015.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 211378840 is an apocalyptic number.

11378840 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 11378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

11378840 is an abundant number, since it is smaller than the sum of its proper divisors (16774600).

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

11378840 is a wasteful number, since it uses less digits than its factorization.

11378840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 11378840 is about 3373.2536222466. The cubic root of 11378840 is about 224.9223765157.

The spelling of 11378840 in words is "eleven million, three hundred seventy-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2351 2420 4702 4840 9404 11755 18808 23510 25861 47020 51722 94040 103444 129305 206888 258610 284471 517220 568942 1034440 1137884 1422355 2275768 2844710 5689420 11378840