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2144020120 = 2351122321851
BaseRepresentation
bin111111111001011…
…0010011010011000
312112102100111200121
41333302302122120
513342332120440
6552425443024
7104062604344
oct17762623230
95472314617
102144020120
11a00275060
124ba040474
13282261478
14164a68624
15c836034a
hex7fcb2698

2144020120 has 64 divisors (see below), whose sum is σ = 5286435840. Its totient is φ = 776112000.

The previous prime is 2144020111. The next prime is 2144020121. The reversal of 2144020120 is 210204412.

It is a junction number, because it is equal to n+sod(n) for n = 2144020094 and 2144020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144020121) 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, 87195 + ... + 109045.

It is an arithmetic number, because the mean of its divisors is an integer number (82600560).

Almost surely, 22144020120 is an apocalyptic number.

2144020120 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 2144020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643217920).

2144020120 is an abundant number, since it is smaller than the sum of its proper divisors (3142415720).

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

2144020120 is a wasteful number, since it uses less digits than its factorization.

2144020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22096 (or 22092 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2144020120 is about 46303.5648735602. The cubic root of 2144020120 is about 1289.4651790164.

Adding to 2144020120 its reverse (210204412), we get a palindrome (2354224532).

The spelling of 2144020120 in words is "two billion, one hundred forty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 440 446 892 1115 1784 2230 2453 4460 4906 8920 9812 12265 19624 21851 24530 43702 49060 87404 98120 109255 174808 218510 240361 437020 480722 874040 961444 1201805 1922888 2403610 4807220 4872773 9614440 9745546 19491092 24363865 38982184 48727730 53600503 97455460 107201006 194910920 214402012 268002515 428804024 536005030 1072010060 2144020120