Search a number
-
+
2054868480 = 29335731137
BaseRepresentation
bin111101001111010…
…1100111000000000
312022012121010122000
41322132230320000
513202021242410
6535522544000
7101631044130
oct17236547000
95265533560
102054868480
11964a13115
12494208000
13269948712
14156c9cac0
15c05eedc0
hex7a7ace00

2054868480 has 640 divisors, whose sum is σ = 8673730560. Its totient is φ = 451215360.

The previous prime is 2054868469. The next prime is 2054868521. The reversal of 2054868480 is 848684502.

2054868480 is a `hidden beast` number, since 2 + 0 + 548 + 68 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 14998972 + ... + 14999108.

It is an arithmetic number, because the mean of its divisors is an integer number (13552704).

Almost surely, 22054868480 is an apocalyptic number.

2054868480 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 2054868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336865280).

2054868480 is an abundant number, since it is smaller than the sum of its proper divisors (6618862080).

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

2054868480 is a wasteful number, since it uses less digits than its factorization.

2054868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2054868480 is about 45330.6571759113. The cubic root of 2054868480 is about 1271.3389231312.

The spelling of 2054868480 in words is "two billion, fifty-four million, eight hundred sixty-eight thousand, four hundred eighty".