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2126402160 = 243517521177
BaseRepresentation
bin111111010111110…
…0101001001110000
312111012012102101120
41332233211021300
513323324332120
6551000102240
7103460056131
oct17657451160
95435172346
102126402160
119a1331463
124b4164980
1327b70333c
1416259dc88
15c6a30140
hex7ebe5270

2126402160 has 80 divisors (see below), whose sum is σ = 6979615776. Its totient is φ = 533684224.

The previous prime is 2126402129. The next prime is 2126402167. The reversal of 2126402160 is 612046212.

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

It is a super-2 number, since 2×21264021602 = 9043172292105331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2126402160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126402167) 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, 256509 + ... + 264668.

Almost surely, 22126402160 is an apocalyptic number.

2126402160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126402160 is an abundant number, since it is smaller than the sum of its proper divisors (4853213616).

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

2126402160 is a wasteful number, since it uses less digits than its factorization.

2126402160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521210 (or 521204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2126402160 is about 46112.9283390244. The cubic root of 2126402160 is about 1285.9235055645.

Adding to 2126402160 its reverse (612046212), we get a palindrome (2738448372).

The spelling of 2126402160 in words is "two billion, one hundred twenty-six million, four hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 521177 1042354 1563531 2084708 2605885 3127062 4169416 5211770 6254124 7817655 8338832 8860009 10423540 12508248 15635310 17720018 20847080 25016496 26580027 31270620 35440036 41694160 44300045 53160054 62541240 70880072 88600090 106320108 125082480 132900135 141760144 177200180 212640216 265800270 354400360 425280432 531600540 708800720 1063201080 2126402160