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1008023716 = 227431097681
BaseRepresentation
bin111100000101010…
…011100010100100
32121020202220120201
4330011103202210
54031023224331
6244005240244
733660026440
oct7405234244
92536686521
101008023716
11478004157
12241703084
13130ab934b
1497c39820
155d768a61
hex3c1538a4

1008023716 has 48 divisors (see below), whose sum is σ = 2082129280. Its totient is φ = 418037760.

The previous prime is 1008023689. The next prime is 1008023717. The reversal of 1008023716 is 6173208001.

It is a super-2 number, since 2×10080237162 = 2032223624036897312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1008023717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127396 + ... + 135076.

Almost surely, 21008023716 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 1008023716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041064640).

1008023716 is an abundant number, since it is smaller than the sum of its proper divisors (1074105564).

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

1008023716 is a wasteful number, since it uses less digits than its factorization.

1008023716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1008023716 is about 31749.3892224717. The cubic root of 1008023716 is about 1002.6674503819.

The spelling of 1008023716 in words is "one billion, eight million, twenty-three thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 43 86 109 172 218 301 436 602 763 1204 1526 3052 4687 7681 9374 15362 18748 30724 32809 53767 65618 107534 131236 215068 330283 660566 837229 1321132 1674458 2311981 3348916 4623962 5860603 9247924 11721206 23442412 36000847 72001694 144003388 252005929 504011858 1008023716