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20023120 = 2451321481
BaseRepresentation
bin100110001100…
…0011101010000
31101200021120001
41030120131100
520111214440
61553055344
7332123305
oct114303520
941607501
1020023120
1110336737
126857554
1341c0b00
1429330ac
151b57b9a
hex1318750

20023120 has 60 divisors (see below), whose sum is σ = 50444316. Its totient is φ = 7388160.

The previous prime is 20023063. The next prime is 20023121. The reversal of 20023120 is 2132002.

It can be written as a sum of positive squares in 6 ways, for example, as 4562496 + 15460624 = 2136^2 + 3932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20023097 and 20023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12780 + ... + 14260.

Almost surely, 220023120 is an apocalyptic number.

20023120 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 20023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222158).

20023120 is an abundant number, since it is smaller than the sum of its proper divisors (30421196).

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

20023120 is a wasteful number, since it uses less digits than its factorization.

20023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20023120 is about 4474.7201029785. The cubic root of 20023120 is about 271.5463169400.

Adding to 20023120 its reverse (2132002), we get a palindrome (22155122).

The spelling of 20023120 in words is "twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1481 1690 2704 2962 3380 5924 6760 7405 11848 13520 14810 19253 23696 29620 38506 59240 77012 96265 118480 154024 192530 250289 308048 385060 500578 770120 1001156 1251445 1540240 2002312 2502890 4004624 5005780 10011560 20023120