Search a number
-
+
11540315400 = 2335253362903
BaseRepresentation
bin10101011111101101…
…10011110100001000
31002210021010202121220
422233312303310020
5142113310043100
65145045002040
7555660030255
oct125766636410
932707122556
1011540315400
114992230849
1222a09b3320
13111bb569c3
147b695c42c
1547821caa0
hex2afdb3d08

11540315400 has 96 divisors (see below), whose sum is σ = 36450077760. Its totient is φ = 3019344640.

The previous prime is 11540315393. The next prime is 11540315401. The reversal of 11540315400 is 451304511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11540315401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149652 + ... + 213251.

It is an arithmetic number, because the mean of its divisors is an integer number (379688310).

Almost surely, 211540315400 is an apocalyptic number.

11540315400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540315400 is an abundant number, since it is smaller than the sum of its proper divisors (24909762360).

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

11540315400 is a wasteful number, since it uses less digits than its factorization.

11540315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362975 (or 362966 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11540315400 its reverse (451304511), we get a palindrome (11991619911).

The spelling of 11540315400 in words is "eleven billion, five hundred forty million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 2120 2650 3180 3975 5300 6360 7950 10600 15900 31800 362903 725806 1088709 1451612 1814515 2177418 2903224 3629030 4354836 5443545 7258060 8709672 9072575 10887090 14516120 18145150 19233859 21774180 27217725 36290300 38467718 43548360 54435450 57701577 72580600 76935436 96169295 108870900 115403154 153870872 192338590 217741800 230806308 288507885 384677180 461612616 480846475 577015770 769354360 961692950 1154031540 1442539425 1923385900 2308063080 2885078850 3846771800 5770157700 11540315400