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2086419960 = 233255795611
BaseRepresentation
bin111110001011100…
…0011110111111000
312101101222010010100
41330113003313320
513233110414320
6543011115400
7102463164012
oct17427036770
95341863110
102086419960
11980803219
124a28a2b60
13273344931
1415b1531b2
15c3283790
hex7c5c3df8

2086419960 has 48 divisors (see below), whose sum is σ = 6780866040. Its totient is φ = 556378560.

The previous prime is 2086419949. The next prime is 2086419967. The reversal of 2086419960 is 699146802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086419967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2897446 + ... + 2898165.

Almost surely, 22086419960 is an apocalyptic number.

2086419960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086419960 is an abundant number, since it is smaller than the sum of its proper divisors (4694446080).

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

2086419960 is a wasteful number, since it uses less digits than its factorization.

2086419960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795628 (or 5795621 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2086419960 is about 45677.3462451575. The cubic root of 2086419960 is about 1277.8128257109.

The spelling of 2086419960 in words is "two billion, eighty-six million, four hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5795611 11591222 17386833 23182444 28978055 34773666 46364888 52160499 57956110 69547332 86934165 104320998 115912220 139094664 173868330 208641996 231824440 260802495 347736660 417283992 521604990 695473320 1043209980 2086419960