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2086008240 = 243528793019
BaseRepresentation
bin111110001010101…
…1111010110110000
312101101012012100110
41330111133112300
513233004230430
6542554221320
7102456530451
oct17425372660
95341165313
102086008240
11980551958
124a2724840
1327322c404
1415b087128
15c32017b0
hex7c55f5b0

2086008240 has 80 divisors (see below), whose sum is σ = 6471014400. Its totient is φ = 555891456.

The previous prime is 2086008227. The next prime is 2086008241. The reversal of 2086008240 is 428006802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2086008198 and 2086008207.

It is not an unprimeable number, because it can be changed into a prime (2086008241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689451 + ... + 692469.

It is an arithmetic number, because the mean of its divisors is an integer number (80887680).

Almost surely, 22086008240 is an apocalyptic number.

2086008240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086008240 is an abundant number, since it is smaller than the sum of its proper divisors (4385006160).

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

2086008240 is a wasteful number, since it uses less digits than its factorization.

2086008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2086008240 is about 45672.8391935513. The cubic root of 2086008240 is about 1277.7287685355.

The spelling of 2086008240 in words is "two billion, eighty-six million, eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2879 3019 5758 6038 8637 9057 11516 12076 14395 15095 17274 18114 23032 24152 28790 30190 34548 36228 43185 45285 46064 48304 57580 60380 69096 72456 86370 90570 115160 120760 138192 144912 172740 181140 230320 241520 345480 362280 690960 724560 8691701 17383402 26075103 34766804 43458505 52150206 69533608 86917010 104300412 130375515 139067216 173834020 208600824 260751030 347668040 417201648 521502060 695336080 1043004120 2086008240