Search a number
-
+
2145253040 = 24578294621
BaseRepresentation
bin111111111011101…
…1111011010110000
312112111200010221022
41333313133122300
513343141044130
6552512115012
7104106231020
oct17767373260
95474603838
102145253040
11a00a373a7
124ba535a68
132825a36c8
14164ca9a80
15c85057e5
hex7fddf6b0

2145253040 has 80 divisors (see below), whose sum is σ = 5708354880. Its totient is φ = 734469120.

The previous prime is 2145253031. The next prime is 2145253049. The reversal of 2145253040 is 403525412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2145253031) and next prime (2145253049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21452530402 = 9204221211258483200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145253049) 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, 461930 + ... + 466550.

It is an arithmetic number, because the mean of its divisors is an integer number (71354436).

Almost surely, 22145253040 is an apocalyptic number.

2145253040 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 2145253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854177440).

2145253040 is an abundant number, since it is smaller than the sum of its proper divisors (3563101840).

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

2145253040 is a wasteful number, since it uses less digits than its factorization.

2145253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2145253040 is about 46316.8764059063. The cubic root of 2145253040 is about 1289.7123008835.

Adding to 2145253040 its reverse (403525412), we get a palindrome (2548778452).

The spelling of 2145253040 in words is "two billion, one hundred forty-five million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 829 1658 3316 4145 4621 5803 6632 8290 9242 11606 13264 16580 18484 23105 23212 29015 32347 33160 36968 46210 46424 58030 64694 66320 73936 92420 92848 116060 129388 161735 184840 232120 258776 323470 369680 464240 517552 646940 1293880 2587760 3830809 7661618 15323236 19154045 26815663 30646472 38308090 53631326 61292944 76616180 107262652 134078315 153232360 214525304 268156630 306464720 429050608 536313260 1072626520 2145253040