Search a number
-
+
31414136 = 2313232571
BaseRepresentation
bin111011111010…
…1011101111000
32012010000002112
41313311131320
531020223021
63041151452
7531005255
oct167653570
965100075
1031414136
11168069a6
12a62b588
13667b860
14425a42c
152b57d5b
hex1df5778

31414136 has 48 divisors (see below), whose sum is σ = 66426360. Its totient is φ = 13844160.

The previous prime is 31414133. The next prime is 31414153. The reversal of 31414136 is 63141413.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414133) 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 11 ways as a sum of consecutive naturals, for example, 54731 + ... + 55301.

Almost surely, 231414136 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 31414136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33213180).

31414136 is an abundant number, since it is smaller than the sum of its proper divisors (35012224).

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

31414136 is a wasteful number, since it uses less digits than its factorization.

31414136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 609 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 31414136 is about 5604.8314872082. The cubic root of 31414136 is about 315.5307621935.

Adding to 31414136 its reverse (63141413), we get a palindrome (94555549).

The spelling of 31414136 in words is "thirty-one million, four hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 529 571 598 1058 1142 1196 2116 2284 2392 4232 4568 6877 7423 13133 13754 14846 26266 27508 29692 52532 55016 59384 105064 170729 302059 341458 604118 682916 1208236 1365832 2416472 3926767 7853534 15707068 31414136