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2146348820 = 2257112126703
BaseRepresentation
bin111111111101110…
…1010111100010100
312112120201211001202
41333323222330110
513343431130240
6552551412032
7104121443510
oct17773527424
95476654052
102146348820
11a01615700
124ba984018
132828983b5
141650b3140
15c8670315
hex7feeaf14

2146348820 has 72 divisors (see below), whose sum is σ = 5662148352. Its totient is φ = 668986560.

The previous prime is 2146348807. The next prime is 2146348823. The reversal of 2146348820 is 288436412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146348823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46412 + ... + 80291.

Almost surely, 22146348820 is an apocalyptic number.

2146348820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146348820 is an abundant number, since it is smaller than the sum of its proper divisors (3515799532).

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

2146348820 is a wasteful number, since it uses less digits than its factorization.

2146348820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126741 (or 126728 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 2146348820 is about 46328.7040613052. The cubic root of 2146348820 is about 1289.9318554633.

The spelling of 2146348820 in words is "two billion, one hundred forty-six million, three hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 126703 253406 506812 633515 886921 1267030 1393733 1773842 2534060 2787466 3547684 4434605 5574932 6968665 8869210 9756131 13937330 15331063 17738420 19512262 27874660 30662126 39024524 48780655 61324252 76655315 97561310 107317441 153310630 195122620 214634882 306621260 429269764 536587205 1073174410 2146348820