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1047000006 = 2371318413
BaseRepresentation
bin111110011001111…
…111001111000110
32200222010010000000
4332121333033012
54121013000011
6251520502130
734642232103
oct7631771706
92628103000
101047000006
11498005668
1225277a946
13138bb4c40
149d0a3aaa
1561db7356
hex3e67f3c6

1047000006 has 64 divisors (see below), whose sum is σ = 2536712640. Its totient is φ = 322136352.

The previous prime is 1046999999. The next prime is 1047000013. The reversal of 1047000006 is 6000007401.

It is an interprime number because it is at equal distance from previous prime (1046999999) and next prime (1047000013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47656 + ... + 66068.

It is an arithmetic number, because the mean of its divisors is an integer number (39636135).

Almost surely, 21047000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).

1047000006 is an abundant number, since it is smaller than the sum of its proper divisors (1489712634).

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

1047000006 is an equidigital number, since it uses as much as digits as its factorization.

1047000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18449 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1047000006 is about 32357.3794674414. The cubic root of 1047000006 is about 1015.4274388567.

Adding to 1047000006 its reverse (6000007401), we get a palindrome (7047007407).

The spelling of 1047000006 in words is "one billion, forty-seven million, six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 2187 3159 4374 6318 9477 18413 18954 28431 36826 55239 56862 110478 165717 239369 331434 478738 497151 718107 994302 1436214 1491453 2154321 2982906 4308642 4474359 6462963 8948718 12925926 13423077 19388889 26846154 38777778 40269231 58166667 80538462 116333334 174500001 349000002 523500003 1047000006