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31326420 = 223537103137
BaseRepresentation
bin111011110000…
…0000011010100
32011221112202210
41313200003110
531004421140
63035233420
7530161446
oct167400324
964845683
1031326420
1116757004
12a5a8870
13664a958
144236496
152b3bd80
hex1de00d4

31326420 has 96 divisors (see below), whose sum is σ = 91623168. Its totient is φ = 7990272.

The previous prime is 31326413. The next prime is 31326431. The reversal of 31326420 is 2462313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 228592 + ... + 228728.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 231326420 is an apocalyptic number.

31326420 is a gapful number since it is divisible by the number (30) 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 31326420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45811584).

31326420 is an abundant number, since it is smaller than the sum of its proper divisors (60296748).

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

31326420 is a wasteful number, since it uses less digits than its factorization.

31326420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 31326420 is about 5597.0009826692. Note that the first 3 decimals coincide. The cubic root of 31326420 is about 315.2368085755.

Adding to 31326420 its reverse (2462313), we get a palindrome (33788733).

The spelling of 31326420 in words is "thirty-one million, three hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 137 148 185 206 222 274 309 370 411 412 444 515 548 555 618 685 740 822 1030 1110 1236 1370 1545 1644 2055 2060 2220 2740 3090 3811 4110 5069 6180 7622 8220 10138 11433 14111 15207 15244 19055 20276 22866 25345 28222 30414 38110 42333 45732 50690 56444 57165 60828 70555 76035 76220 84666 101380 114330 141110 152070 169332 211665 228660 282220 304140 423330 522107 846660 1044214 1566321 2088428 2610535 3132642 5221070 6265284 7831605 10442140 15663210 31326420