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1006056714 = 231337477417
BaseRepresentation
bin111011111101110…
…011010100001010
32121010001222100210
4323331303110022
54030022303324
6243455141550
733634224645
oct7375632412
92533058323
101006056714
11476990333
12240b148b6
1313057ac40
1497886a5c
155d4cad29
hex3bf7350a

1006056714 has 64 divisors (see below), whose sum is σ = 2273112576. Its totient is φ = 294741504.

The previous prime is 1006056703. The next prime is 1006056781. The reversal of 1006056714 is 4176506001.

It is a super-2 number, since 2×10060567142 = 2024300223568955592, which contains 22 as substring.

It is a Curzon 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, 131934 + ... + 139350.

It is an arithmetic number, because the mean of its divisors is an integer number (35517384).

Almost surely, 21006056714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006056714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136556288).

1006056714 is an abundant number, since it is smaller than the sum of its proper divisors (1267055862).

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

1006056714 is a wasteful number, since it uses less digits than its factorization.

1006056714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7519.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1006056714 is about 31718.3970906476. The cubic root of 1006056714 is about 1002.0148423505.

The spelling of 1006056714 in words is "one billion, six million, fifty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 47 74 78 94 111 141 222 282 481 611 962 1222 1443 1739 1833 2886 3478 3666 5217 7417 10434 14834 22251 22607 44502 45214 67821 96421 135642 192842 274429 289263 348599 548858 578526 697198 823287 1045797 1646574 2091594 3567577 4531787 7135154 9063574 10702731 12898163 13595361 21405462 25796326 27190722 38694489 77388978 167676119 335352238 503028357 1006056714