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31805136 = 2434112397
BaseRepresentation
bin111100101010…
…0111011010000
32012211212110000
41321110323100
531120231021
63053410000
7534224226
oct171247320
965755400
1031805136
1116a53740
12a799900
13678780c
14431cb16
152bd3b26
hex1e54ed0

31805136 has 200 divisors, whose sum is σ = 105868224. Its totient is φ = 9123840.

The previous prime is 31805119. The next prime is 31805153. The reversal of 31805136 is 63150813.

It is an interprime number because it is at equal distance from previous prime (31805119) and next prime (31805153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 327840 + ... + 327936.

Almost surely, 231805136 is an apocalyptic number.

31805136 is a gapful number since it is divisible by the number (36) 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 31805136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

31805136 is an abundant number, since it is smaller than the sum of its proper divisors (74063088).

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

31805136 is a wasteful number, since it uses less digits than its factorization.

31805136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 31805136 is about 5639.6042414340. The cubic root of 31805136 is about 316.8344659471.

Adding to 31805136 its reverse (63150813), we get a palindrome (94955949).

The spelling of 31805136 in words is "thirty-one million, eight hundred five thousand, one hundred thirty-six".