Search a number
-
+
11425440 = 2535131831
BaseRepresentation
bin101011100101…
…011010100000
3210111110202110
4223211122200
510411103230
61044515320
7166054215
oct53453240
923443673
1011425440
1164a4114
1239abb40
1324a0620
141735b0c
15100a4b0
hexae56a0

11425440 has 96 divisors (see below), whose sum is σ = 38779776. Its totient is φ = 2810880.

The previous prime is 11425433. The next prime is 11425459. The reversal of 11425440 is 4452411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5325 + ... + 7155.

It is an arithmetic number, because the mean of its divisors is an integer number (403956).

Almost surely, 211425440 is an apocalyptic number.

11425440 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 11425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389888).

11425440 is an abundant number, since it is smaller than the sum of its proper divisors (27354336).

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

11425440 is a wasteful number, since it uses less digits than its factorization.

11425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 11425440 is about 3380.1538426527. The cubic root of 11425440 is about 225.2290014148.

Adding to 11425440 its reverse (4452411), we get a palindrome (15877851).

The spelling of 11425440 in words is "eleven million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 1831 2080 3120 3662 5493 6240 7324 9155 10986 14648 18310 21972 23803 27465 29296 36620 43944 47606 54930 58592 71409 73240 87888 95212 109860 119015 142818 146480 175776 190424 219720 238030 285636 292960 357045 380848 439440 476060 571272 714090 761696 878880 952120 1142544 1428180 1904240 2285088 2856360 3808480 5712720 11425440