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2086173960 = 2335133747769
BaseRepresentation
bin111110001011000…
…0111110100001000
312101101111121200020
41330112013310020
513233030031320
6543001540440
7102461120553
oct17426076410
95341447606
102086173960
11980655412
124a27a4720
13273289980
1415b0cb69a
15c3235940
hex7c587d08

2086173960 has 256 divisors, whose sum is σ = 7078579200. Its totient is φ = 488374272.

The previous prime is 2086173959. The next prime is 2086173961. The reversal of 2086173960 is 693716802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2086173959) and next prime (2086173961).

It is not an unprimeable number, because it can be changed into a prime (2086173961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2712456 + ... + 2713224.

It is an arithmetic number, because the mean of its divisors is an integer number (27650700).

Almost surely, 22086173960 is an apocalyptic number.

2086173960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086173960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539289600).

2086173960 is an abundant number, since it is smaller than the sum of its proper divisors (4992405240).

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

2086173960 is a wasteful number, since it uses less digits than its factorization.

2086173960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2086173960 is about 45674.6533648587. The cubic root of 2086173960 is about 1277.7626034297.

The spelling of 2086173960 in words is "two billion, eighty-six million, one hundred seventy-three thousand, nine hundred sixty".