Search a number
-
+
20312400 = 2435216927
BaseRepresentation
bin100110101111…
…1000101010000
31102012222101010
41031133011100
520144444100
62003210520
7334436553
oct115370520
942188333
1020312400
1110514009
126976a40
134292694
1429aa69a
151bb3750
hex135f150

20312400 has 60 divisors (see below), whose sum is σ = 65071232. Its totient is φ = 5416320.

The previous prime is 20312393. The next prime is 20312407. The reversal of 20312400 is 421302.

It is an interprime number because it is at equal distance from previous prime (20312393) and next prime (20312407).

It is a tau number, because it is divible by the number of its divisors (60).

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 (20312407) 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, 7264 + ... + 9663.

Almost surely, 220312400 is an apocalyptic number.

20312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312400 is an abundant number, since it is smaller than the sum of its proper divisors (44758832).

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

20312400 is a wasteful number, since it uses less digits than its factorization.

20312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16948 (or 16937 counting only the distinct ones).

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

The square root of 20312400 is about 4506.9280003124. The cubic root of 20312400 is about 272.8477730136.

Adding to 20312400 its reverse (421302), we get a palindrome (20733702).

The spelling of 20312400 in words is "twenty million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16927 33854 50781 67708 84635 101562 135416 169270 203124 253905 270832 338540 406248 423175 507810 677080 812496 846350 1015620 1269525 1354160 1692700 2031240 2539050 3385400 4062480 5078100 6770800 10156200 20312400