Search a number
-
+
11342540 = 22511243109
BaseRepresentation
bin101011010001…
…001011001100
3210100021001002
4223101023030
510400430130
61043035432
7165260426
oct53211314
923307032
1011342540
116447900
12396bb78
132471981
141713816
15ee0b45
hexad12cc

11342540 has 72 divisors (see below), whose sum is σ = 27036240. Its totient is φ = 3991680.

The previous prime is 11342537. The next prime is 11342543. The reversal of 11342540 is 4524311.

It is an interprime number because it is at equal distance from previous prime (11342537) and next prime (11342543).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11342543) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 104006 + ... + 104114.

Almost surely, 211342540 is an apocalyptic number.

11342540 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 11342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518120).

11342540 is an abundant number, since it is smaller than the sum of its proper divisors (15693700).

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

11342540 is a wasteful number, since it uses less digits than its factorization.

11342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 11342540 is about 3367.8687622887. The cubic root of 11342540 is about 224.6829443818.

Adding to 11342540 its reverse (4524311), we get a palindrome (15866851).

The spelling of 11342540 in words is "eleven million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 109 110 121 172 215 218 220 242 430 436 473 484 545 605 860 946 1090 1199 1210 1892 2180 2365 2398 2420 4687 4730 4796 5203 5995 9374 9460 10406 11990 13189 18748 20812 23435 23980 26015 26378 46870 51557 52030 52756 65945 93740 103114 104060 131890 206228 257785 263780 515570 567127 1031140 1134254 2268508 2835635 5671270 11342540