Search a number
-
+
31905390 = 23511109887
BaseRepresentation
bin111100110110…
…1011001101110
32020000221222010
41321231121232
531131433030
63055502050
7535122426
oct171553156
966027863
1031905390
1117011aa0
12a827926
1367c133a
144347486
152c036b0
hex1e6d66e

31905390 has 64 divisors (see below), whose sum is σ = 84395520. Its totient is φ = 7655040.

The previous prime is 31905361. The next prime is 31905397. The reversal of 31905390 is 9350913.

It is a super-2 number, since 2×319053902 = 2035907822104200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31905397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35527 + ... + 36413.

It is an arithmetic number, because the mean of its divisors is an integer number (1318680).

Almost surely, 231905390 is an apocalyptic number.

31905390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31905390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42197760).

31905390 is an abundant number, since it is smaller than the sum of its proper divisors (52490130).

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

31905390 is a wasteful number, since it uses less digits than its factorization.

31905390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 31905390 is about 5648.4856377617. The cubic root of 31905390 is about 317.1670181716.

The spelling of 31905390 in words is "thirty-one million, nine hundred five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 887 1090 1199 1635 1774 2398 2661 3270 3597 4435 5322 5995 7194 8870 9757 11990 13305 17985 19514 26610 29271 35970 48785 58542 96683 97570 146355 193366 290049 292710 483415 580098 966830 1063513 1450245 2127026 2900490 3190539 5317565 6381078 10635130 15952695 31905390