Search a number
-
+
630278880 = 253571117053
BaseRepresentation
bin100101100100010…
…100101011100000
31121220222111002020
4211210110223200
52242322411010
6142313021440
721422165520
oct4544245340
91556874066
10630278880
112a3859940
121570b4880
13a076a7aa
145d9c9680
153a4ee470
hex25914ae0

630278880 has 192 divisors, whose sum is σ = 2475422208. Its totient is φ = 130959360.

The previous prime is 630278839. The next prime is 630278881. The reversal of 630278880 is 88872036.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630278881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28434 + ... + 45486.

It is an arithmetic number, because the mean of its divisors is an integer number (12892824).

Almost surely, 2630278880 is an apocalyptic number.

630278880 is a gapful number since it is divisible by the number (60) 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 630278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237711104).

630278880 is an abundant number, since it is smaller than the sum of its proper divisors (1845143328).

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

630278880 is a wasteful number, since it uses less digits than its factorization.

630278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17089 (or 17081 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 630278880 is about 25105.3556039344. The cubic root of 630278880 is about 857.3883633252.

The spelling of 630278880 in words is "six hundred thirty million, two hundred seventy-eight thousand, eight hundred eighty".