Search a number
-
+
2143256640 = 263571773257
BaseRepresentation
bin111111110111111…
…1000000001000000
312112100220201101120
41333233320001000
513342133203030
6552401232240
7104053244430
oct17757700100
95470821346
102143256640
119aa8a3488
124b9932680
13282054ac5
1416490a2c0
15c825e010
hex7fbf8040

2143256640 has 448 divisors, whose sum is σ = 8379707904. Its totient is φ = 452984832.

The previous prime is 2143256603. The next prime is 2143256653. The reversal of 2143256640 is 466523412.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8339392 + ... + 8339648.

Almost surely, 22143256640 is an apocalyptic number.

2143256640 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 2143256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189853952).

2143256640 is an abundant number, since it is smaller than the sum of its proper divisors (6236451264).

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

2143256640 is a wasteful number, since it uses less digits than its factorization.

2143256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2143256640 is about 46295.3198498509. The cubic root of 2143256640 is about 1289.3121024437.

The spelling of 2143256640 in words is "two billion, one hundred forty-three million, two hundred fifty-six thousand, six hundred forty".