Search a number
-
+
31106432 = 277149233
BaseRepresentation
bin111011010101…
…0010110000000
32011112101000002
41312222112000
530430401212
63030415132
7525254210
oct166522600
964471002
1031106432
11166167a5
12a5014a8
1365a1796
1441ba240
152ae6ac2
hex1daa580

31106432 has 64 divisors (see below), whose sum is σ = 71604000. Its totient is φ = 13185024.

The previous prime is 31106429. The next prime is 31106437. The reversal of 31106432 is 23460113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×311064322 = 1935220223541248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31106437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133388 + ... + 133620.

Almost surely, 231106432 is an apocalyptic number.

31106432 is a gapful number since it is divisible by the number (32) 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 31106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35802000).

31106432 is an abundant number, since it is smaller than the sum of its proper divisors (40497568).

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

31106432 is a wasteful number, since it uses less digits than its factorization.

31106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 31106432 is about 5577.3140488949. The cubic root of 31106432 is about 314.4971636489.

Adding to 31106432 its reverse (23460113), we get a palindrome (54566545).

The spelling of 31106432 in words is "thirty-one million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 233 298 448 466 596 896 932 1043 1192 1631 1864 2086 2384 3262 3728 4172 4768 6524 7456 8344 9536 13048 14912 16688 19072 26096 29824 33376 34717 52192 66752 69434 104384 133504 138868 208768 243019 277736 486038 555472 972076 1110944 1944152 2221888 3888304 4443776 7776608 15553216 31106432