Search a number
-
+
1006715620 = 22550335781
BaseRepresentation
bin111100000000010…
…100001011100100
32121011022110012201
4330000110023210
54030204344440
6243521224244
733642640651
oct7400241344
92534273181
101006715620
114772a0389
12241192084
1313074bb21
14979b8c28
155d5ab19a
hex3c0142e4

1006715620 has 12 divisors (see below), whose sum is σ = 2114102844. Its totient is φ = 402686240.

The previous prime is 1006715539. The next prime is 1006715621. The reversal of 1006715620 is 265176001.

It can be written as a sum of positive squares in 2 ways, for example, as 382515364 + 624200256 = 19558^2 + 24984^2 .

It is not an unprimeable number, because it can be changed into a prime (1006715621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25167871 + ... + 25167910.

It is an arithmetic number, because the mean of its divisors is an integer number (176175237).

Almost surely, 21006715620 is an apocalyptic number.

1006715620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006715620 is an abundant number, since it is smaller than the sum of its proper divisors (1107387224).

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

1006715620 is a wasteful number, since it uses less digits than its factorization.

1006715620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50335790 (or 50335788 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1006715620 is about 31728.7822016541. The cubic root of 1006715620 is about 1002.2335475511.

The spelling of 1006715620 in words is "one billion, six million, seven hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 50335781 100671562 201343124 251678905 503357810 1006715620