Search a number
-
+
2553380280 = 23335111747269
BaseRepresentation
bin1001100000110001…
…0111110110111000
320120221122011021000
42120030113312320
520212131132110
61101211445000
7120163242243
oct23014276670
96527564230
102553380280
1110a0353440
125b3156760
13318ccc309
141a318825a
15ee2721c0
hex98317db8

2553380280 has 512 divisors, whose sum is σ = 10077696000. Its totient is φ = 568074240.

The previous prime is 2553380279. The next prime is 2553380281. The reversal of 2553380280 is 820833552.

2553380280 is a `hidden beast` number, since 2 + 553 + 3 + 80 + 28 + 0 = 666.

2553380280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2553380279) and next prime (2553380281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553380281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9491986 + ... + 9492254.

It is an arithmetic number, because the mean of its divisors is an integer number (19683000).

Almost surely, 22553380280 is an apocalyptic number.

2553380280 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 2553380280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038848000).

2553380280 is an abundant number, since it is smaller than the sum of its proper divisors (7524315720).

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

2553380280 is a wasteful number, since it uses less digits than its factorization.

2553380280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2553380280 is about 50530.9833666435. The cubic root of 2553380280 is about 1366.8006185051.

The spelling of 2553380280 in words is "two billion, five hundred fifty-three million, three hundred eighty thousand, two hundred eighty".