Search a number
-
+
6253120032 = 253234576197
BaseRepresentation
bin1011101001011011…
…10000101000100000
3121010210100102002020
411310231300220200
5100301244320112
62512254021440
7310646433435
oct56455605040
917123312066
106253120032
1127197a56a5
1212661a7880
13788661633
1443469bb8c
15268e8648c
hex174b70a20

6253120032 has 96 divisors (see below), whose sum is σ = 17168360832. Its totient is φ = 1989064704.

The previous prime is 6253120007. The next prime is 6253120037. The reversal of 6253120032 is 2300213526.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 6253119984 and 6253120011.

It is not an unprimeable number, because it can be changed into a prime (6253120037) 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, 1005958 + ... + 1012154.

It is an arithmetic number, because the mean of its divisors is an integer number (178837092).

Almost surely, 26253120032 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 6253120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584180416).

6253120032 is an abundant number, since it is smaller than the sum of its proper divisors (10915240800).

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

6253120032 is a wasteful number, since it uses less digits than its factorization.

6253120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 6253120032 is about 79076.6718571286. The cubic root of 6253120032 is about 1842.3222128942.

Adding to 6253120032 its reverse (2300213526), we get a palindrome (8553333558).

The spelling of 6253120032 in words is "six billion, two hundred fifty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 457 552 736 914 1104 1371 1828 2208 2742 3656 5484 6197 7312 10511 10968 12394 14624 18591 21022 21936 24788 31533 37182 42044 43872 49576 63066 74364 84088 99152 126132 142531 148728 168176 198304 252264 285062 297456 336352 427593 504528 570124 594912 855186 1009056 1140248 1710372 2280496 2832029 3420744 4560992 5664058 6841488 8496087 11328116 13682976 16992174 22656232 33984348 45312464 65136667 67968696 90624928 130273334 135937392 195410001 260546668 271874784 390820002 521093336 781640004 1042186672 1563280008 2084373344 3126560016 6253120032