Search a number
-
+
31423700 = 22527211253
BaseRepresentation
bin111011111011…
…1110011010100
32012010111012202
41313313303110
531021024300
63041304032
7531045200
oct167676324
965114182
1031423700
1116813100
12a635018
136683009
14425db00
152b5aad5
hex1df7cd4

31423700 has 162 divisors, whose sum is σ = 88834158. Its totient is φ = 9609600.

The previous prime is 31423697. The next prime is 31423703. The reversal of 31423700 is 732413.

It is an interprime number because it is at equal distance from previous prime (31423697) and next prime (31423703).

It can be written as a sum of positive squares in 3 ways, for example, as 4008004 + 27415696 = 2002^2 + 5236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31423703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 592874 + ... + 592926.

It is an arithmetic number, because the mean of its divisors is an integer number (548359).

Almost surely, 231423700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31423700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44417079).

31423700 is an abundant number, since it is smaller than the sum of its proper divisors (57410458).

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

31423700 is a wasteful number, since it uses less digits than its factorization.

31423700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 31423700 is about 5605.6846147460. The cubic root of 31423700 is about 315.5627799451.

It can be divided in two parts, 31423 and 700, that multiplied together give a square (21996100 = 46902).

The spelling of 31423700 in words is "thirty-one million, four hundred twenty-three thousand, seven hundred".