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3965040960 = 26354130251
BaseRepresentation
bin1110110001010101…
…1011100101000000
3101020022220221122220
43230111123211000
531110022302320
61453240331040
7200154202116
oct35425334500
911208827586
103965040960
111755186a61
12927a73a80
134b26014aa
14298853ab6
1518316be40
hexec55b940

3965040960 has 56 divisors (see below), whose sum is σ = 12589008096. Its totient is φ = 1057344000.

The previous prime is 3965040943. The next prime is 3965040977. The reversal of 3965040960 is 690405693.

It is an interprime number because it is at equal distance from previous prime (3965040943) and next prime (3965040977).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2064166 + ... + 2066085.

It is an arithmetic number, because the mean of its divisors is an integer number (224803716).

Almost surely, 23965040960 is an apocalyptic number.

3965040960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3965040960 is an abundant number, since it is smaller than the sum of its proper divisors (8623967136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3965040960 is a wasteful number, since it uses less digits than its factorization.

3965040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130271 (or 4130261 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 3965040960 is about 62968.5712081829. The cubic root of 3965040960 is about 1582.7630124206.

The spelling of 3965040960 in words is "three billion, nine hundred sixty-five million, forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4130251 8260502 12390753 16521004 20651255 24781506 33042008 41302510 49563012 61953765 66084016 82605020 99126024 123907530 132168032 165210040 198252048 247815060 264336064 330420080 396504096 495630120 660840160 793008192 991260240 1321680320 1982520480 3965040960