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630784 = 213711
BaseRepresentation
bin10011010000000000000
31012001021101
42122000000
5130141114
621304144
75235010
oct2320000
91161241
10630784
113a0a10
12265054
1319115b
14125c40
15c6d74
hex9a000

630784 has 56 divisors (see below), whose sum is σ = 1572768. Its totient is φ = 245760.

The previous prime is 630737. The next prime is 630797. The reversal of 630784 is 487036.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57339 + ... + 57349.

630784 is a Friedman number, since it can be written as (30-8)*7*4^6, using all its digits and the basic arithmetic operations.

2630784 is an apocalyptic number.

630784 is a gapful number since it is divisible by the number (64) 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 630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786384).

630784 is an abundant number, since it is smaller than the sum of its proper divisors (941984).

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

630784 is an equidigital number, since it uses as much as digits as its factorization.

630784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 630784 is about 794.2191133434. The cubic root of 630784 is about 85.7617345754.

The spelling of 630784 in words is "six hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4096 4928 5632 7168 8192 9856 11264 14336 19712 22528 28672 39424 45056 57344 78848 90112 157696 315392 630784