Search a number
-
+
11274200 = 235278053
BaseRepresentation
bin101011000000…
…011111011000
3210012210021222
4223000133120
510341233300
61041351212
7164554250
oct53003730
923183258
1011274200
116400523
123938508
132449832
1416d6960
15eca785
hexac07d8

11274200 has 48 divisors (see below), whose sum is σ = 29960880. Its totient is φ = 3864960.

The previous prime is 11274199. The next prime is 11274229. The reversal of 11274200 is 247211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2627 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (624185).

Almost surely, 211274200 is an apocalyptic number.

11274200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11274200 is an abundant number, since it is smaller than the sum of its proper divisors (18686680).

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

11274200 is a wasteful number, since it uses less digits than its factorization.

11274200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 11274200 is about 3357.7075512915. The cubic root of 11274200 is about 224.2307889205.

The spelling of 11274200 in words is "eleven million, two hundred seventy-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8053 16106 32212 40265 56371 64424 80530 112742 161060 201325 225484 281855 322120 402650 450968 563710 805300 1127420 1409275 1610600 2254840 2818550 5637100 11274200