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31104840 = 233513127157
BaseRepresentation
bin111011010100…
…1111101001000
32011112021211010
41312221331020
530430323330
63030403520
7525246444
oct166517510
964467733
1031104840
1116615588
12a5005a0
1365a0b40
1441b9824
152ae63b0
hex1da9f48

31104840 has 128 divisors (see below), whose sum is σ = 101928960. Its totient is φ = 7547904.

The previous prime is 31104833. The next prime is 31104847. The reversal of 31104840 is 4840113.

It is an interprime number because it is at equal distance from previous prime (31104833) and next prime (31104847).

It is a super-2 number, since 2×311048402 = 1935022142851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31104847) 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, 198042 + ... + 198198.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 231104840 is an apocalyptic number.

31104840 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 31104840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50964480).

31104840 is an abundant number, since it is smaller than the sum of its proper divisors (70824120).

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

31104840 is a wasteful number, since it uses less digits than its factorization.

31104840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 31104840 is about 5577.1713260398. The cubic root of 31104840 is about 314.4917983274.

Adding to 31104840 its reverse (4840113), we get a palindrome (35944953).

The spelling of 31104840 in words is "thirty-one million, one hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 127 130 156 157 195 254 260 312 314 381 390 471 508 520 628 635 762 780 785 942 1016 1256 1270 1524 1560 1570 1651 1884 1905 2041 2355 2540 3048 3140 3302 3768 3810 4082 4710 4953 5080 6123 6280 6604 7620 8164 8255 9420 9906 10205 12246 13208 15240 16328 16510 18840 19812 19939 20410 24492 24765 30615 33020 39624 39878 40820 48984 49530 59817 61230 66040 79756 81640 99060 99695 119634 122460 159512 198120 199390 239268 244920 259207 299085 398780 478536 518414 598170 777621 797560 1036828 1196340 1296035 1555242 2073656 2392680 2592070 3110484 3888105 5184140 6220968 7776210 10368280 15552420 31104840