Search a number
-
+
1160400048 = 243231099643
BaseRepresentation
bin100010100101010…
…0100110010110000
32222212111102121120
41011022210302300
54334030300143
6311051222240
740520144343
oct10512446260
92885442546
101160400048
11546019805
12284747980
1315653aa62
14b018245a
156bd17383
hex452a4cb0

1160400048 has 80 divisors (see below), whose sum is σ = 3157059840. Its totient is φ = 366550272.

The previous prime is 1160400041. The next prime is 1160400083. The reversal of 1160400048 is 8400040611.

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 (1160400041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115515 + ... + 125157.

It is an arithmetic number, because the mean of its divisors is an integer number (39463248).

Almost surely, 21160400048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160400048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578529920).

1160400048 is an abundant number, since it is smaller than the sum of its proper divisors (1996659792).

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

1160400048 is a wasteful number, since it uses less digits than its factorization.

1160400048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1160400048 is about 34064.6451324537. The cubic root of 1160400048 is about 1050.8383472437.

Adding to 1160400048 its reverse (8400040611), we get a palindrome (9560440659).

The spelling of 1160400048 in words is "one billion, one hundred sixty million, four hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 109 138 184 218 276 327 368 436 552 654 872 1104 1308 1744 2507 2616 5014 5232 7521 9643 10028 15042 19286 20056 28929 30084 38572 40112 57858 60168 77144 115716 120336 154288 221789 231432 443578 462864 665367 887156 1051087 1330734 1774312 2102174 2661468 3153261 3548624 4204348 5322936 6306522 8408696 10645872 12613044 16817392 24175001 25226088 48350002 50452176 72525003 96700004 145050006 193400008 290100012 386800016 580200024 1160400048