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20123400 = 23352113049
BaseRepresentation
bin100110011000…
…0111100001000
31101212101010010
41030300330020
520122422100
61555151520
7333021543
oct114607410
941771103
1020123400
11103a5010
1268a55a0
13422764b
14295b85a
151b77750
hex1330f08

20123400 has 96 divisors (see below), whose sum is σ = 68076000. Its totient is φ = 4876800.

The previous prime is 20123387. The next prime is 20123401. The reversal of 20123400 is 432102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20123401) 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, 5076 + ... + 8124.

It is an arithmetic number, because the mean of its divisors is an integer number (709125).

Almost surely, 220123400 is an apocalyptic number.

20123400 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 20123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038000).

20123400 is an abundant number, since it is smaller than the sum of its proper divisors (47952600).

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

20123400 is a wasteful number, since it uses less digits than its factorization.

20123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20123400 is about 4485.9112786590. The cubic root of 20123400 is about 271.9988826367.

Adding to 20123400 its reverse (432102), we get a palindrome (20555502).

The spelling of 20123400 in words is "twenty million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3049 3300 6098 6600 9147 12196 15245 18294 24392 30490 33539 36588 45735 60980 67078 73176 76225 91470 100617 121960 134156 152450 167695 182940 201234 228675 268312 304900 335390 365880 402468 457350 503085 609800 670780 804936 838475 914700 1006170 1341560 1676950 1829400 2012340 2515425 3353900 4024680 5030850 6707800 10061700 20123400