Search a number
-
+
1006770393 = 32137816521
BaseRepresentation
bin111100000000100…
…001100011011001
32121011102020100100
4330000201203121
54030213123033
6243522330013
733643256436
oct7400414331
92534366310
101006770393
11477328552
122411b9909
1313076aa35
14979d0b8d
155d5bc513
hex3c0218d9

1006770393 has 12 divisors (see below), whose sum is σ = 1464840468. Its totient is φ = 666280320.

The previous prime is 1006770389. The next prime is 1006770419. The reversal of 1006770393 is 3930776001.

It can be written as a sum of positive squares in 2 ways, for example, as 329313609 + 677456784 = 18147^2 + 26028^2 .

It is not a de Polignac number, because 1006770393 - 22 = 1006770389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006770493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407028 + ... + 409493.

It is an arithmetic number, because the mean of its divisors is an integer number (122070039).

Almost surely, 21006770393 is an apocalyptic number.

It is an amenable number.

1006770393 is a deficient number, since it is larger than the sum of its proper divisors (458070075).

1006770393 is a wasteful number, since it uses less digits than its factorization.

1006770393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816664 (or 816661 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 1006770393 is about 31729.6453336623. The cubic root of 1006770393 is about 1002.2517236019.

The spelling of 1006770393 in words is "one billion, six million, seven hundred seventy thousand, three hundred ninety-three".

Divisors: 1 3 9 137 411 1233 816521 2449563 7348689 111863377 335590131 1006770393