Search a number
-
+
2573329920 = 29357151317
BaseRepresentation
bin1001100101100001…
…1110011000000000
320122100011201000120
42121120132120000
520232233024140
61103203220240
7120524641410
oct23130363000
96570151016
102573329920
111100639947
125b9977680
13320195835
141a5a9c640
15100db31d0
hex9961e600

2573329920 has 320 divisors, whose sum is σ = 9493963776. Its totient is φ = 582451200.

The previous prime is 2573329901. The next prime is 2573329931. The reversal of 2573329920 is 299233752.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8117602 + ... + 8117918.

Almost surely, 22573329920 is an apocalyptic number.

2573329920 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 2573329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746981888).

2573329920 is an abundant number, since it is smaller than the sum of its proper divisors (6920633856).

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

2573329920 is a wasteful number, since it uses less digits than its factorization.

2573329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 2573329920 is about 50727.9993691847. Note that the first 3 decimals coincide. The cubic root of 2573329920 is about 1370.3510067276.

The spelling of 2573329920 in words is "two billion, five hundred seventy-three million, three hundred twenty-nine thousand, nine hundred twenty".