Search a number
-
+
11300154400 = 255249928307
BaseRepresentation
bin10101000011000101…
…01010110000100000
31002011112020022200001
422201202222300200
5141120314420100
65105145305344
7550012504363
oct124142526040
932145208601
1011300154400
114879708287
122234495254
1310b117a7c2
14792ac40da
154620cdd6a
hex2a18aac20

11300154400 has 72 divisors (see below), whose sum is σ = 27642762000. Its totient is φ = 4510844160.

The previous prime is 11300154367. The next prime is 11300154409. The reversal of 11300154400 is 445100311.

It is not an unprimeable number, because it can be changed into a prime (11300154409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385047 + ... + 413353.

It is an arithmetic number, because the mean of its divisors is an integer number (383927250).

Almost surely, 211300154400 is an apocalyptic number.

11300154400 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 11300154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821381000).

11300154400 is an abundant number, since it is smaller than the sum of its proper divisors (16342607600).

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

11300154400 is a wasteful number, since it uses less digits than its factorization.

11300154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28826 (or 28813 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11300154400 its reverse (445100311), we get a palindrome (11745254711).

The spelling of 11300154400 in words is "eleven billion, three hundred million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 499 800 998 1996 2495 3992 4990 7984 9980 12475 15968 19960 24950 28307 39920 49900 56614 79840 99800 113228 141535 199600 226456 283070 399200 452912 566140 707675 905824 1132280 1415350 2264560 2830700 4529120 5661400 11322800 14125193 22645600 28250386 56500772 70625965 113001544 141251930 226003088 282503860 353129825 452006176 565007720 706259650 1130015440 1412519300 2260030880 2825038600 5650077200 11300154400