[go: up one dir, main page]

Search a number
-
+
31426200 = 233252131779
BaseRepresentation
bin111011111100…
…0011010011000
32012010121122100
41313320122120
531021114300
63041323400
7531055401
oct167703230
965117570
1031426200
1116814a73
12a636560
1366841b0
1442609a8
152b5b700
hex1df8698

31426200 has 288 divisors, whose sum is σ = 121867200. Its totient is φ = 7188480.

The previous prime is 31426193. The next prime is 31426201. The reversal of 31426200 is 262413.

It is a happy number.

31426200 is a `hidden beast` number, since 3 + 1 + 42 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31426201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397761 + ... + 397839.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 231426200 is an apocalyptic number.

31426200 is a gapful number since it is divisible by the number (30) 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 31426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

31426200 is an abundant number, since it is smaller than the sum of its proper divisors (90441000).

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

31426200 is a wasteful number, since it uses less digits than its factorization.

31426200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31426200 is about 5605.9075982396. The cubic root of 31426200 is about 315.5711482152.

Adding to 31426200 its reverse (262413), we get a palindrome (31688613).

It can be divided in two parts, 31426 and 200, that added together give a triangular number (31626 = T251).

The spelling of 31426200 in words is "thirty-one million, four hundred twenty-six thousand, two hundred".