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1007666741 = 29109318781
BaseRepresentation
bin111100000011111…
…100011000110101
32121020002202220102
4330003330120311
54030430313431
6243553443445
733654011624
oct7403743065
92536082812
101007666741
1147788aa34
12241570585
131309c2a13
1497b856bb
155d6e7dcb
hex3c0fc635

1007666741 has 8 divisors (see below), whose sum is σ = 1051980600. Its totient is φ = 963990720.

The previous prime is 1007666659. The next prime is 1007666783. The reversal of 1007666741 is 1476667001.

It can be written as a sum of positive squares in 4 ways, for example, as 61858225 + 945808516 = 7865^2 + 30754^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1007666741 - 210 = 1007665717 is a prime.

It is a super-2 number, since 2×10076667412 = 2030784521835122162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007666695 and 1007666704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007666141) 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, 156230 + ... + 162551.

It is an arithmetic number, because the mean of its divisors is an integer number (131497575).

Almost surely, 21007666741 is an apocalyptic number.

It is an amenable number.

1007666741 is a deficient number, since it is larger than the sum of its proper divisors (44313859).

1007666741 is a wasteful number, since it uses less digits than its factorization.

1007666741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318919.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 1007666741 is about 31743.7669629803. The cubic root of 1007666741 is about 1002.5490770186.

The spelling of 1007666741 in words is "one billion, seven million, six hundred sixty-six thousand, seven hundred forty-one".

Divisors: 1 29 109 3161 318781 9244649 34747129 1007666741