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11274320 = 245140929
BaseRepresentation
bin101011000000…
…100001010000
3210012210110102
4223000201100
510341234240
61041351532
7164554511
oct53004120
923183412
1011274320
116400622
1239385a8
1324498c5
1416d6a08
15eca815
hexac0850

11274320 has 20 divisors (see below), whose sum is σ = 26212980. Its totient is φ = 4509696.

The previous prime is 11274317. The next prime is 11274331. The reversal of 11274320 is 2347211.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 6574096 = 2168^2 + 2564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×112743202 = 254220582924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11274292 and 11274301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70385 + ... + 70544.

It is an arithmetic number, because the mean of its divisors is an integer number (1310649).

Almost surely, 211274320 is an apocalyptic number.

11274320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11274320 is an abundant number, since it is smaller than the sum of its proper divisors (14938660).

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

11274320 is a wasteful number, since it uses less digits than its factorization.

11274320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140942 (or 140936 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 11274320 is about 3357.7254205786. The cubic root of 11274320 is about 224.2315844713.

The spelling of 11274320 in words is "eleven million, two hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 140929 281858 563716 704645 1127432 1409290 2254864 2818580 5637160 11274320