Search a number
-
+
11277280 = 255710069
BaseRepresentation
bin101011000001…
…001111100000
3210012221112001
4223001033200
510341333110
61041413344
7164566240
oct53011740
923187461
1011277280
116402873
12393a254
13244b061
1416d7b20
15ecb63a
hexac13e0

11277280 has 48 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 3866112.

The previous prime is 11277271. The next prime is 11277281. The reversal of 11277280 is 8277211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11277281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3915 + ... + 6154.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 211277280 is an apocalyptic number.

11277280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11277280 is an abundant number, since it is smaller than the sum of its proper divisors (19174400).

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

11277280 is a wasteful number, since it uses less digits than its factorization.

11277280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 11277280 is about 3358.1661662282. The cubic root of 11277280 is about 224.2512062730.

The spelling of 11277280 in words is "eleven million, two hundred seventy-seven thousand, two hundred 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 10069 20138 40276 50345 70483 80552 100690 140966 161104 201380 281932 322208 352415 402760 563864 704830 805520 1127728 1409660 1611040 2255456 2819320 5638640 11277280