Search a number
-
+
11341620 = 223457001
BaseRepresentation
bin101011010000…
…111100110100
3210100012210000
4223100330310
510400412440
61043031300
7165254643
oct53207464
923305700
1011341620
116447144
12396b530
132471424
14171335a
15ee0730
hexad0f34

11341620 has 60 divisors (see below), whose sum is σ = 35584164. Its totient is φ = 3024000.

The previous prime is 11341597. The next prime is 11341633. The reversal of 11341620 is 2614311.

It is a happy number.

11341620 is a `hidden beast` number, since 1 + 1 + 3 + 41 + 620 = 666.

11341620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4435236 + 6906384 = 2106^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11341593 and 11341602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1881 + ... + 5120.

Almost surely, 211341620 is an apocalyptic number.

11341620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11341620 is an abundant number, since it is smaller than the sum of its proper divisors (24242544).

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

11341620 is a wasteful number, since it uses less digits than its factorization.

11341620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11341620 is about 3367.7321746243. The cubic root of 11341620 is about 224.6768694963.

Adding to 11341620 its reverse (2614311), we get a palindrome (13955931).

The spelling of 11341620 in words is "eleven million, three hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7001 14002 21003 28004 35005 42006 63009 70010 84012 105015 126018 140020 189027 210030 252036 315045 378054 420060 567081 630090 756108 945135 1134162 1260180 1890270 2268324 2835405 3780540 5670810 11341620