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1007006061 = 31917666773
BaseRepresentation
bin111100000001011…
…011000101101101
32121011212012121210
4330001123011231
54030243143221
6243531345033
733645260505
oct7401330555
92534765553
101007006061
11477479616
122412b2179
13130821099
1497a52a05
155d617276
hex3c05b16d

1007006061 has 8 divisors (see below), whose sum is σ = 1413341920. Its totient is φ = 636003792.

The previous prime is 1007006059. The next prime is 1007006083. The reversal of 1007006061 is 1606007001.

1007006061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1007006061 - 21 = 1007006059 is a prime.

It is a super-2 number, since 2×10070060612 = 2028122413781471442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007006261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8833330 + ... + 8833443.

It is an arithmetic number, because the mean of its divisors is an integer number (176667740).

Almost surely, 21007006061 is an apocalyptic number.

It is an amenable number.

1007006061 is a deficient number, since it is larger than the sum of its proper divisors (406335859).

1007006061 is a wasteful number, since it uses less digits than its factorization.

1007006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666795.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1007006061 is about 31733.3588042615. The cubic root of 1007006061 is about 1002.3299209192.

The spelling of 1007006061 in words is "one billion, seven million, six thousand, sixty-one".

Divisors: 1 3 19 57 17666773 53000319 335668687 1007006061