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31000620 = 22357312381
BaseRepresentation
bin111011001000…
…0100000101100
32011022222212010
41312100200230
530414004440
63024241220
7524333550
oct166204054
964288763
1031000620
1116554252
12a470210
136565581
14418d860
152ac5580
hex1d9082c

31000620 has 96 divisors (see below), whose sum is σ = 102445056. Its totient is φ = 6854400.

The previous prime is 31000597. The next prime is 31000621. The reversal of 31000620 is 2600013.

It is a super-2 number, since 2×310006202 = 1922076880768800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31000596 and 31000605.

It is not an unprimeable number, because it can be changed into a prime (31000621) 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, 11830 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (1067136).

Almost surely, 231000620 is an apocalyptic number.

31000620 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 31000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51222528).

31000620 is an abundant number, since it is smaller than the sum of its proper divisors (71444436).

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

31000620 is a wasteful number, since it uses less digits than its factorization.

31000620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31000620 is about 5567.8200401953. The cubic root of 31000620 is about 314.1401594789.

Adding to 31000620 its reverse (2600013), we get a palindrome (33600633).

The spelling of 31000620 in words is "thirty-one million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2381 2604 3255 4340 4762 6510 7143 9524 11905 13020 14286 16667 23810 28572 33334 35715 47620 50001 66668 71430 73811 83335 100002 142860 147622 166670 200004 221433 250005 295244 333340 369055 442866 500010 516677 738110 885732 1000020 1033354 1107165 1476220 1550031 2066708 2214330 2583385 3100062 4428660 5166770 6200124 7750155 10333540 15500310 31000620