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31140432 = 2432297457
BaseRepresentation
bin111011011001…
…0101001010000
32011121002122100
41312302221100
530432443212
63031240400
7525455301
oct166625120
964532570
1031140432
111663a2a4
12a519100
1365b40bb
1441c87a8
152b01bdc
hex1db2a50

31140432 has 60 divisors (see below), whose sum is σ = 90167220. Its totient is φ = 10020864.

The previous prime is 31140419. The next prime is 31140467. The reversal of 31140432 is 23404113.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 18352656 = 3576^2 + 4284^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (1502787).

Almost surely, 231140432 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 31140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45083610).

31140432 is an abundant number, since it is smaller than the sum of its proper divisors (59026788).

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

31140432 is a wasteful number, since it uses less digits than its factorization.

31140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500 (or 7491 counting only the distinct ones).

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

The square root of 31140432 is about 5580.3612786270. The cubic root of 31140432 is about 314.6117059840.

Adding to 31140432 its reverse (23404113), we get a palindrome (54544545).

The spelling of 31140432 in words is "thirty-one million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 7457 14914 22371 29828 44742 59656 67113 89484 119312 134226 178968 216253 268452 357936 432506 536904 648759 865012 1073808 1297518 1730024 1946277 2595036 3460048 3892554 5190072 7785108 10380144 15570216 31140432