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1006072665 = 351317303491
BaseRepresentation
bin111011111101110…
…111001101011001
32121010002210020120
4323331313031121
54030023311130
6243455343453
733634322313
oct7375671531
92533083216
101006072665
114769a1314
12240b21b89
13130585290
149788c7b3
155d4d0910
hex3bf77359

1006072665 has 32 divisors (see below), whose sum is σ = 1835519616. Its totient is φ = 466160640.

The previous prime is 1006072621. The next prime is 1006072673. The reversal of 1006072665 is 5662706001.

It is not a de Polignac number, because 1006072665 - 29 = 1006072153 is a prime.

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, 148431 + ... + 155060.

It is an arithmetic number, because the mean of its divisors is an integer number (57359988).

Almost surely, 21006072665 is an apocalyptic number.

1006072665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006072665 is a deficient number, since it is larger than the sum of its proper divisors (829446951).

1006072665 is a wasteful number, since it uses less digits than its factorization.

1006072665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303529.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1006072665 is about 31718.6485367835. The cubic root of 1006072665 is about 1002.0201379613.

Adding to 1006072665 its reverse (5662706001), we get a palindrome (6668778666).

The spelling of 1006072665 in words is "one billion, six million, seventy-two thousand, six hundred sixty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 303491 910473 1517455 3945383 4552365 5159347 11836149 15478041 19726915 25796735 59180745 67071511 77390205 201214533 335357555 1006072665