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968640001 = 72295931019
BaseRepresentation
bin111001101111000…
…100011000000001
32111111200000021121
4321233010120001
53440432440001
6240041152241
733001206220
oct7157043001
92444600247
10968640001
1145785462a
1223048b681
131258aa184
1492906cb7
155a0896a1
hex39bc4601

968640001 has 16 divisors (see below), whose sum is σ = 1114819200. Its totient is φ = 824433408.

The previous prime is 968639999. The next prime is 968640011. The reversal of 968640001 is 100046869.

It is a cyclic number.

It is not a de Polignac number, because 968640001 - 21 = 968639999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968640011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950070 + ... + 951088.

It is an arithmetic number, because the mean of its divisors is an integer number (69676200).

Almost surely, 2968640001 is an apocalyptic number.

It is an amenable number.

968640001 is a deficient number, since it is larger than the sum of its proper divisors (146179199).

968640001 is a wasteful number, since it uses less digits than its factorization.

968640001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 968640001 is about 31122.9818783484. The cubic root of 968640001 is about 989.4354503256.

The spelling of 968640001 in words is "nine hundred sixty-eight million, six hundred forty thousand, one".

Divisors: 1 7 229 593 1019 1603 4151 7133 135797 233351 604267 950579 1633457 4229869 138377143 968640001