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987960001 = 7220162449
BaseRepresentation
bin111010111000110…
…001001011000001
32112212000120100011
4322320301023001
54010404210001
6242011224521
733324343600
oct7270611301
92485016304
10987960001
1146774aa76
12236a48141
131298b2c22
14952d5a37
155bb03d51
hex3ae312c1

987960001 has 6 divisors (see below), whose sum is σ = 1149259650. Its totient is φ = 846822816.

The previous prime is 987959983. The next prime is 987960007. The reversal of 987960001 is 100069789.

It can be written as a sum of positive squares in only one way, i.e., 584914225 + 403045776 = 24185^2 + 20076^2 .

It is not a de Polignac number, because 987960001 - 215 = 987927233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (987960007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10081176 + ... + 10081273.

It is an arithmetic number, because the mean of its divisors is an integer number (191543275).

Almost surely, 2987960001 is an apocalyptic number.

It is an amenable number.

987960001 is a deficient number, since it is larger than the sum of its proper divisors (161299649).

987960001 is a wasteful number, since it uses less digits than its factorization.

987960001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20162463 (or 20162456 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 987960001 is about 31431.8310157076. The cubic root of 987960001 is about 995.9704515489.

The spelling of 987960001 in words is "nine hundred eighty-seven million, nine hundred sixty thousand, one".

Divisors: 1 7 49 20162449 141137143 987960001