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20002120 = 235717043
BaseRepresentation
bin100110001001…
…1010101001000
31101122012202021
41030103111020
520110031440
61552414224
7332005135
oct114232510
941565667
1020002120
1110321986
126847374
1341b4398
14292958c
151b5184a
hex1313548

20002120 has 32 divisors (see below), whose sum is σ = 45645120. Its totient is φ = 7887040.

The previous prime is 20002097. The next prime is 20002123. The reversal of 20002120 is 2120002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20002123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682 + ... + 6361.

It is an arithmetic number, because the mean of its divisors is an integer number (1426410).

Almost surely, 220002120 is an apocalyptic number.

20002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002120 is an abundant number, since it is smaller than the sum of its proper divisors (25643000).

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

20002120 is a wasteful number, since it uses less digits than its factorization.

20002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20002120 is about 4472.3729719244. The cubic root of 20002120 is about 271.4513522629.

Adding to 20002120 its reverse (2120002), we get a palindrome (22122122).

The spelling of 20002120 in words is "twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 7043 14086 28172 35215 56344 70430 140860 281720 500053 1000106 2000212 2500265 4000424 5000530 10001060 20002120