Search a number
-
+
2580948120 = 2335157136993
BaseRepresentation
bin1001100111010110…
…0010010010011000
320122212111202020010
42121311202102120
520241210314440
61104034401520
7120646461042
oct23165422230
96585452203
102580948120
111104972583
126004302a0
1332193224a
141a6ac2a92
151018ba580
hex99d62498

2580948120 has 64 divisors (see below), whose sum is σ = 7792218720. Its totient is φ = 683864064.

The previous prime is 2580948077. The next prime is 2580948131. The reversal of 2580948120 is 218490852.

It is a super-2 number, since 2×25809481202 = 13322586396263068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49657 + ... + 87336.

Almost surely, 22580948120 is an apocalyptic number.

2580948120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580948120 is an abundant number, since it is smaller than the sum of its proper divisors (5211270600).

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

2580948120 is a wasteful number, since it uses less digits than its factorization.

2580948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137164 (or 137160 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2580948120 is about 50803.0325866478. The cubic root of 2580948120 is about 1371.7019570934.

The spelling of 2580948120 in words is "two billion, five hundred eighty million, nine hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 136993 273986 410979 547972 684965 821958 1095944 1369930 1643916 2054895 2739860 3287832 4109790 5479720 8219580 16439160 21507901 43015802 64523703 86031604 107539505 129047406 172063208 215079010 258094812 322618515 430158020 516189624 645237030 860316040 1290474060 2580948120