Search a number
-
+
1628303130 = 232583217979
BaseRepresentation
bin110000100001101…
…1110111100011010
311012110221100222100
41201003132330122
511313321200010
6425324104230
755231230306
oct14103367432
94173840870
101628303130
11766153273
12395395076
131cc46559c
14116380d06
1597e402c0
hex610def1a

1628303130 has 48 divisors (see below), whose sum is σ = 4284614880. Its totient is φ = 428980704.

The previous prime is 1628303119. The next prime is 1628303167. The reversal of 1628303130 is 313038261.

It is a happy number.

1628303130 is a `hidden beast` number, since 1 + 628 + 3 + 0 + 3 + 1 + 30 = 666.

1628303130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1628303094 and 1628303103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101520 + ... + 116459.

It is an arithmetic number, because the mean of its divisors is an integer number (89262810).

Almost surely, 21628303130 is an apocalyptic number.

1628303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1628303130 is an abundant number, since it is smaller than the sum of its proper divisors (2656311750).

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

1628303130 is a wasteful number, since it uses less digits than its factorization.

1628303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218075 (or 218072 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1628303130 is about 40352.2382278852. The cubic root of 1628303130 is about 1176.4633959212.

The spelling of 1628303130 in words is "one billion, six hundred twenty-eight million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 217979 435958 653937 1089895 1307874 1961811 2179790 3269685 3923622 6539370 9809055 18092257 19618110 36184514 54276771 90461285 108553542 162830313 180922570 271383855 325660626 542767710 814151565 1628303130