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20051400 = 23352231453
BaseRepresentation
bin100110001111…
…1010111001000
31101201201100110
41030133113020
520113121100
61553434320
7332301615
oct114372710
941651313
1020051400
1110355a06
12686b9a0
134200945
14293d50c
151b61250
hex131f5c8

20051400 has 96 divisors (see below), whose sum is σ = 64906560. Its totient is φ = 5111040.

The previous prime is 20051363. The next prime is 20051407. The reversal of 20051400 is 415002.

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 (20051407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13074 + ... + 14526.

It is an arithmetic number, because the mean of its divisors is an integer number (676110).

Almost surely, 220051400 is an apocalyptic number.

20051400 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 20051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32453280).

20051400 is an abundant number, since it is smaller than the sum of its proper divisors (44855160).

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

20051400 is a wasteful number, since it uses less digits than its factorization.

20051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20051400 is about 4477.8789621873. The cubic root of 20051400 is about 271.6740978475.

Adding to 20051400 its reverse (415002), we get a palindrome (20466402).

The spelling of 20051400 in words is "twenty million, fifty-one thousand, four 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 1453 1725 2300 2760 2906 3450 4359 4600 5812 6900 7265 8718 11624 13800 14530 17436 21795 29060 33419 34872 36325 43590 58120 66838 72650 87180 100257 108975 133676 145300 167095 174360 200514 217950 267352 290600 334190 401028 435900 501285 668380 802056 835475 871800 1002570 1336760 1670950 2005140 2506425 3341900 4010280 5012850 6683800 10025700 20051400