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20134200 = 23352231459
BaseRepresentation
bin100110011001…
…1100100111000
31101212220221010
41030303210320
520123243300
61555313520
7333065202
oct114634470
941786833
1020134200
1110402139
1268ab8a0
13422c538
142961772
151b7aa50
hex1333938

20134200 has 96 divisors (see below), whose sum is σ = 65174400. Its totient is φ = 5132160.

The previous prime is 20134183. The next prime is 20134201. The reversal of 20134200 is 243102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134201) 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, 13071 + ... + 14529.

It is an arithmetic number, because the mean of its divisors is an integer number (678900).

Almost surely, 220134200 is an apocalyptic number.

20134200 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 20134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32587200).

20134200 is an abundant number, since it is smaller than the sum of its proper divisors (45040200).

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

20134200 is a wasteful number, since it uses less digits than its factorization.

20134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

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

The square root of 20134200 is about 4487.1148859819. The cubic root of 20134200 is about 272.0475335036.

Adding to 20134200 its reverse (243102), we get a palindrome (20377302).

The spelling of 20134200 in words is "twenty million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1459 1725 2300 2760 2918 3450 4377 4600 5836 6900 7295 8754 11672 13800 14590 17508 21885 29180 33557 35016 36475 43770 58360 67114 72950 87540 100671 109425 134228 145900 167785 175080 201342 218850 268456 291800 335570 402684 437700 503355 671140 805368 838925 875400 1006710 1342280 1677850 2013420 2516775 3355700 4026840 5033550 6711400 10067100 20134200