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1006130079 = 36312112
BaseRepresentation
bin111011111110000…
…101001110011111
32121010012201000000
4323332011032133
54030032130304
6243500505343
733634651563
oct7376051637
92533181000
101006130079
11476a30469
12240b4b253
131305a5456
14978a56a3
155d4e2939
hex3bf8539f

1006130079 has 42 divisors (see below), whose sum is σ = 1564581408. Its totient is φ = 646039800.

The previous prime is 1006130053. The next prime is 1006130087. The reversal of 1006130079 is 9700316001.

It is not a de Polignac number, because 1006130079 - 227 = 871912351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006130029) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4768284 + ... + 4768494.

Almost surely, 21006130079 is an apocalyptic number.

1006130079 is a deficient number, since it is larger than the sum of its proper divisors (558451329).

1006130079 is an frugal number, since it uses more digits than its factorization.

1006130079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1006130079 is about 31719.5535750426. The cubic root of 1006130079 is about 1002.0391985096.

The spelling of 1006130079 in words is "one billion, six million, one hundred thirty thousand, seventy-nine".

Divisors: 1 3 9 27 31 81 93 211 243 279 633 729 837 1899 2511 5697 6541 7533 17091 19623 22599 44521 51273 58869 133563 153819 176607 400689 529821 1202067 1380151 1589463 3606201 4140453 4768389 10818603 12421359 32455809 37264077 111792231 335376693 1006130079