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31203420 = 22352979227
BaseRepresentation
bin111011100001…
…0000001011100
32011201022001020
41313002001130
530442002140
63032444140
7526140033
oct167020134
964638036
1031203420
1116682656
12a549650
136606981
14420371a
152b156d0
hex1dc205c

31203420 has 96 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 7897344.

The previous prime is 31203409. The next prime is 31203427. The reversal of 31203420 is 2430213.

31203420 = 3902 + 3912 + ... + 5342.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31203420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31203427) 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 31 ways as a sum of consecutive naturals, for example, 137347 + ... + 137573.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 231203420 is an apocalyptic number.

31203420 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 31203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

31203420 is an abundant number, since it is smaller than the sum of its proper divisors (60726180).

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

31203420 is a wasteful number, since it uses less digits than its factorization.

31203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 31203420 is about 5586.0021482273. The cubic root of 31203420 is about 314.8236856589.

Adding to 31203420 its reverse (2430213), we get a palindrome (33633633).

The spelling of 31203420 in words is "thirty-one million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 227 237 290 316 348 395 435 454 474 580 681 790 870 908 948 1135 1185 1362 1580 1740 2270 2291 2370 2724 3405 4540 4582 4740 6583 6810 6873 9164 11455 13166 13620 13746 17933 19749 22910 26332 27492 32915 34365 35866 39498 45820 53799 65830 68730 71732 78996 89665 98745 107598 131660 137460 179330 197490 215196 268995 358660 394980 520057 537990 1040114 1075980 1560171 2080228 2600285 3120342 5200570 6240684 7800855 10401140 15601710 31203420