Search a number
-
+
2015453000 = 235311434261
BaseRepresentation
bin111100000100001…
…0101111101001000
312012110102121202102
41320020111331020
513111423444000
6531554052532
7100642032161
oct17010257510
95173377672
102015453000
11944741740
12482b7a148
13261727c52
1415195c768
15bbe163d5
hex78215f48

2015453000 has 128 divisors (see below), whose sum is σ = 5265786240. Its totient is φ = 715680000.

The previous prime is 2015452973. The next prime is 2015453009. The reversal of 2015453000 is 3545102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2015453009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470870 + ... + 475130.

It is an arithmetic number, because the mean of its divisors is an integer number (41138955).

Almost surely, 22015453000 is an apocalyptic number.

2015453000 is a gapful number since it is divisible by the number (20) 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 2015453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632893120).

2015453000 is an abundant number, since it is smaller than the sum of its proper divisors (3250333240).

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

2015453000 is a wasteful number, since it uses less digits than its factorization.

2015453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2015453000 is about 44893.7968989035. The cubic root of 2015453000 is about 1263.1576549403.

Adding to 2015453000 its reverse (3545102), we get a palindrome (2018998102).

The spelling of 2015453000 in words is "two billion, fifteen million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3784 4261 4300 4730 5375 5500 8522 8600 9460 10750 11000 11825 17044 18920 21305 21500 23650 34088 42610 43000 46871 47300 59125 85220 93742 94600 106525 118250 170440 183223 187484 213050 234355 236500 366446 374968 426100 468710 473000 532625 732892 852200 916115 937420 1065250 1171775 1465784 1832230 1874840 2015453 2130500 2343550 3664460 4030906 4261000 4580575 4687100 5858875 7328920 8061812 9161150 9374200 10077265 11717750 16123624 18322300 20154530 22902875 23435500 36644600 40309060 45805750 46871000 50386325 80618120 91611500 100772650 183223000 201545300 251931625 403090600 503863250 1007726500 2015453000