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31204680 = 23351383241
BaseRepresentation
bin111011100001…
…0010101001000
32011201100202220
41313002111020
530442022210
63032454040
7526143513
oct167022510
964640686
1031204680
11166835a1
12a54a320
136607410
144203d7a
152b15c70
hex1dc2548

31204680 has 128 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 7557120.

The previous prime is 31204661. The next prime is 31204681. The reversal of 31204680 is 8640213.

31204680 = T395 + T396 + ... + T628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

31204680 is a modest number, since divided by 4680 gives 3120 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 31204680.

It is not an unprimeable number, because it can be changed into a prime (31204681) 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, 129360 + ... + 129600.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 231204680 is an apocalyptic number.

31204680 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 31204680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

31204680 is an abundant number, since it is smaller than the sum of its proper divisors (71248440).

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

31204680 is a wasteful number, since it uses less digits than its factorization.

31204680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 31204680 is about 5586.1149290003. The cubic root of 31204680 is about 314.8279231485.

Adding to 31204680 its reverse (8640213), we get a palindrome (39844893).

The spelling of 31204680 in words is "thirty-one million, two hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 241 249 260 312 332 390 415 482 498 520 664 723 780 830 964 996 1079 1205 1245 1446 1560 1660 1928 1992 2158 2410 2490 2892 3133 3237 3320 3615 4316 4820 4980 5395 5784 6266 6474 7230 8632 9399 9640 9960 10790 12532 12948 14460 15665 16185 18798 20003 21580 25064 25896 28920 31330 32370 37596 40006 43160 46995 60009 62660 64740 75192 80012 93990 100015 120018 125320 129480 160024 187980 200030 240036 260039 300045 375960 400060 480072 520078 600090 780117 800120 1040156 1200180 1300195 1560234 2080312 2400360 2600390 3120468 3900585 5200780 6240936 7801170 10401560 15602340 31204680