Search a number
-
+
11274360 = 2335471999
BaseRepresentation
bin101011000000…
…100001111000
3210012210111220
4223000201320
510341234420
61041352040
7164554566
oct53004170
923183456
1011274360
116400659
123938620
132449926
1416d6a36
15eca840
hexac0878

11274360 has 64 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 2941056.

The previous prime is 11274343. The next prime is 11274379. The reversal of 11274360 is 6347211.

It is a super-2 number, since 2×112743602 = 254222386819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11274360.

It is a congruent number.

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, 4641 + ... + 6639.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 211274360 is an apocalyptic number.

11274360 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 11274360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

11274360 is an abundant number, since it is smaller than the sum of its proper divisors (23285640).

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

11274360 is a wasteful number, since it uses less digits than its factorization.

11274360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11274360 is about 3357.7313769866. The cubic root of 11274360 is about 224.2318496537.

The spelling of 11274360 in words is "eleven million, two hundred seventy-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 1999 2820 3998 5640 5997 7996 9995 11994 15992 19990 23988 29985 39980 47976 59970 79960 93953 119940 187906 239880 281859 375812 469765 563718 751624 939530 1127436 1409295 1879060 2254872 2818590 3758120 5637180 11274360