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968018640 = 24354033411
BaseRepresentation
bin111001101100101…
…100101011010000
32111110111102221020
4321230230223100
53440303044030
6240015555440
732663010531
oct7154545320
92443442836
10968018640
1145746a806
1223022bb80
131257203c4
14927c4688
1559eb5510
hex39b2cad0

968018640 has 40 divisors (see below), whose sum is σ = 3000858528. Its totient is φ = 258138240.

The previous prime is 968018629. The next prime is 968018663. The reversal of 968018640 is 46810869.

968018640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 968018592 and 968018601.

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, 2016466 + ... + 2016945.

Almost surely, 2968018640 is an apocalyptic number.

It is an amenable number.

968018640 is an abundant number, since it is smaller than the sum of its proper divisors (2032839888).

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

968018640 is a wasteful number, since it uses less digits than its factorization.

968018640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033427 (or 4033421 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 968018640 is about 31112.9979269115. The cubic root of 968018640 is about 989.2238381317.

The spelling of 968018640 in words is "nine hundred sixty-eight million, eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4033411 8066822 12100233 16133644 20167055 24200466 32267288 40334110 48400932 60501165 64534576 80668220 96801864 121002330 161336440 193603728 242004660 322672880 484009320 968018640