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630620928 = 2832761641
BaseRepresentation
bin100101100101101…
…000001100000000
31121221121212021200
4211211220030000
52242414332203
6142324221200
721425121660
oct4545501400
91557555250
10630620928
112a3a72923
1215723a800
13a085a3a2
145da781a0
153a56a9a3
hex25968300

630620928 has 216 divisors, whose sum is σ = 2115343776. Its totient is φ = 176947200.

The previous prime is 630620927. The next prime is 630620953. The reversal of 630620928 is 829026036.

630620928 is a `hidden beast` number, since 6 + 3 + 0 + 620 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630620892 and 630620901.

It is not an unprimeable number, because it can be changed into a prime (630620927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983488 + ... + 984128.

Almost surely, 2630620928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057671888).

630620928 is an abundant number, since it is smaller than the sum of its proper divisors (1484722848).

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

630620928 is a wasteful number, since it uses less digits than its factorization.

630620928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 630620928 is about 25112.1669315892. The cubic root of 630620928 is about 857.5434348598.

The spelling of 630620928 in words is "six hundred thirty million, six hundred twenty thousand, nine hundred twenty-eight".