Search a number
-
+
11364280 = 235192787
BaseRepresentation
bin101011010110…
…011110111000
3210101100212021
4223112132320
510402124110
61043324224
7165411004
oct53263670
923340767
1011364280
116462174
123980674
13247b835
14171b704
15ee72da
hexad67b8

11364280 has 48 divisors (see below), whose sum is σ = 27020520. Its totient is φ = 4300992.

The previous prime is 11364263. The next prime is 11364281. The reversal of 11364280 is 8246311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364281) 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, 14047 + ... + 14833.

Almost surely, 211364280 is an apocalyptic number.

11364280 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 11364280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510260).

11364280 is an abundant number, since it is smaller than the sum of its proper divisors (15656240).

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

11364280 is a wasteful number, since it uses less digits than its factorization.

11364280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 11364280 is about 3371.0947776650. The cubic root of 11364280 is about 224.8264010735.

The spelling of 11364280 in words is "eleven million, three hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 787 1444 1574 1805 2888 3148 3610 3935 6296 7220 7870 14440 14953 15740 29906 31480 59812 74765 119624 149530 284107 299060 568214 598120 1136428 1420535 2272856 2841070 5682140 11364280