Search a number
-
+
11530240 = 2125563
BaseRepresentation
bin101011111111…
…000000000000
3210200210111221
4223333000000
510422431430
61051044424
7200001601
oct53770000
923623457
1011530240
116565927
123a40714
132509237
141761da8
15102b57a
hexaff000

11530240 has 52 divisors (see below), whose sum is σ = 27718344. Its totient is φ = 4603904.

The previous prime is 11530229. The next prime is 11530249. The reversal of 11530240 is 4203511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11530249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20199 + ... + 20761.

Almost surely, 211530240 is an apocalyptic number.

11530240 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 11530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859172).

11530240 is an abundant number, since it is smaller than the sum of its proper divisors (16188104).

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

11530240 is an frugal number, since it uses more digits than its factorization.

11530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 11530240 is about 3395.6207090899. The cubic root of 11530240 is about 225.9155452313.

Adding to 11530240 its reverse (4203511), we get a palindrome (15733751).

The spelling of 11530240 in words is "eleven million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 563 640 1024 1126 1280 2048 2252 2560 2815 4096 4504 5120 5630 9008 10240 11260 18016 20480 22520 36032 45040 72064 90080 144128 180160 288256 360320 576512 720640 1153024 1441280 2306048 2882560 5765120 11530240