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7993965 = 357194007
BaseRepresentation
bin11110011111101001101101
3120001010122210
4132133221231
54021301330
6443201033
7124643010
oct36375155
916033583
107993965
11456aa91
122816179
13186b775
1410c1377
15a7d8b0
hex79fa6d

7993965 has 32 divisors (see below), whose sum is σ = 15390720. Its totient is φ = 3461184.

The previous prime is 7993963. The next prime is 7993967. The reversal of 7993965 is 5693997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7993963) and next prime (7993967).

It is not a de Polignac number, because 7993965 - 21 = 7993963 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (480960).

Almost surely, 27993965 is an apocalyptic number.

It is an amenable number.

7993965 is a deficient number, since it is larger than the sum of its proper divisors (7396755).

7993965 is a wasteful number, since it uses less digits than its factorization.

7993965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041.

The product of its digits is 459270, while the sum is 48.

The square root of 7993965 is about 2827.3600761134. The cubic root of 7993965 is about 199.9496956818.

Subtracting from 7993965 its reverse (5693997), we obtain a cube (2299968 = 1323).

The spelling of 7993965 in words is "seven million, nine hundred ninety-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1995 4007 12021 20035 28049 60105 76133 84147 140245 228399 380665 420735 532931 1141995 1598793 2664655 7993965