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1020163914 = 23271117291493
BaseRepresentation
bin111100110011100…
…111011101001010
32122002121200210200
4330303213131022
54042130221124
6245121353030
734165151550
oct7463473512
92562550720
101020163914
11483946280
12245798776
1313347a0b3
14996b9bd0
155e865bc9
hex3cce774a

1020163914 has 192 divisors, whose sum is σ = 3020509440. Its totient is φ = 240629760.

The previous prime is 1020163913. The next prime is 1020163987. The reversal of 1020163914 is 4193610201.

1020163914 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 639 + 1 + 4 = 666.

It is a super-2 number, since 2×10201639142 = 2081468822855598792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020163913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682552 + ... + 684044.

It is an arithmetic number, because the mean of its divisors is an integer number (15731820).

Almost surely, 21020163914 is an apocalyptic number.

1020163914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020163914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510254720).

1020163914 is an abundant number, since it is smaller than the sum of its proper divisors (2000345526).

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

1020163914 is a wasteful number, since it uses less digits than its factorization.

1020163914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1020163914 is about 31940.0049154661. The cubic root of 1020163914 is about 1006.6766280951.

The spelling of 1020163914 in words is "one billion, twenty million, one hundred sixty-three thousand, nine hundred fourteen".