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20067400 = 2352269373
BaseRepresentation
bin100110010001…
…1010001001000
31101202112022001
41030203101020
520114124100
61554040344
7332366353
oct114432110
941675261
1020067400
1110366a31
1268790b4
134208002
14294529a
151b65d6a
hex1323448

20067400 has 48 divisors (see below), whose sum is σ = 46955700. Its totient is φ = 7975680.

The previous prime is 20067379. The next prime is 20067407. The reversal of 20067400 is 476002.

It can be written as a sum of positive squares in 6 ways, for example, as 3076516 + 16990884 = 1754^2 + 4122^2 .

It is not an unprimeable number, because it can be changed into a prime (20067407) 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, 53614 + ... + 53986.

Almost surely, 220067400 is an apocalyptic number.

20067400 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 20067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23477850).

20067400 is an abundant number, since it is smaller than the sum of its proper divisors (26888300).

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

20067400 is a wasteful number, since it uses less digits than its factorization.

20067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 20067400 is about 4479.6651660587. The cubic root of 20067400 is about 271.7463393519.

It can be divided in two parts, 200 and 67400, that added together give a square (67600 = 2602).

The spelling of 20067400 in words is "twenty million, sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 373 538 746 1076 1345 1492 1865 2152 2690 2984 3730 5380 6725 7460 9325 10760 13450 14920 18650 26900 37300 53800 74600 100337 200674 401348 501685 802696 1003370 2006740 2508425 4013480 5016850 10033700 20067400