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1006042415 = 57193148933
BaseRepresentation
bin111011111101101…
…111110100101111
32121010001020202012
4323331233310233
54030021324130
6243454551435
733634135160
oct7375576457
92533036665
101006042415
11476980614
12240b0857b
13130574591
1497881767
155d4c6995
hex3bf6fd2f

1006042415 has 16 divisors (see below), whose sum is σ = 1386873408. Its totient is φ = 686278656.

The previous prime is 1006042399. The next prime is 1006042441. The reversal of 1006042415 is 5142406001.

It is not a de Polignac number, because 1006042415 - 24 = 1006042399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67712 + ... + 81221.

It is an arithmetic number, because the mean of its divisors is an integer number (86679588).

Almost surely, 21006042415 is an apocalyptic number.

1006042415 is a deficient number, since it is larger than the sum of its proper divisors (380830993).

1006042415 is a wasteful number, since it uses less digits than its factorization.

1006042415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149138.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1006042415 is about 31718.1716843831. The cubic root of 1006042415 is about 1002.0100951436.

Adding to 1006042415 its reverse (5142406001), we get a palindrome (6148448416).

The spelling of 1006042415 in words is "one billion, six million, forty-two thousand, four hundred fifteen".

Divisors: 1 5 7 35 193 965 1351 6755 148933 744665 1042531 5212655 28744069 143720345 201208483 1006042415