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20301400 = 2352717853
BaseRepresentation
bin100110101110…
…0011001011000
31102012102021201
41031130121120
520144121100
62003043544
7334362520
oct115343130
942172251
1020301400
1110506819
1269705b4
13428a682
1429a6680
151bb036a
hex135c658

20301400 has 96 divisors (see below), whose sum is σ = 57183840. Its totient is φ = 6543360.

The previous prime is 20301397. The next prime is 20301401. The reversal of 20301400 is 410302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301401) 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, 23374 + ... + 24226.

It is an arithmetic number, because the mean of its divisors is an integer number (595665).

Almost surely, 220301400 is an apocalyptic number.

20301400 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 20301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).

20301400 is an abundant number, since it is smaller than the sum of its proper divisors (36882440).

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

20301400 is a wasteful number, since it uses less digits than its factorization.

20301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 884 counting only the distinct ones).

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

The square root of 20301400 is about 4505.7074916155. The cubic root of 20301400 is about 272.7985113566.

Adding to 20301400 its reverse (410302), we get a palindrome (20711702).

The spelling of 20301400 in words is "twenty million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 853 952 1190 1400 1700 1706 2380 2975 3400 3412 4265 4760 5950 5971 6824 8530 11900 11942 14501 17060 21325 23800 23884 29002 29855 34120 42650 47768 58004 59710 72505 85300 101507 116008 119420 145010 149275 170600 203014 238840 290020 298550 362525 406028 507535 580040 597100 725050 812056 1015070 1194200 1450100 2030140 2537675 2900200 4060280 5075350 10150700 20301400