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31471020 = 22325724977
BaseRepresentation
bin111100000001…
…1010110101100
32012012220010100
41320003112230
531024033040
63042311100
7531333150
oct170032654
965186110
1031471020
1116845709
12a658490
13669b709
144273060
152b69b30
hex1e035ac

31471020 has 72 divisors (see below), whose sum is σ = 109103904. Its totient is φ = 7193088.

The previous prime is 31471007. The next prime is 31471031. The reversal of 31471020 is 2017413.

31471020 = T480 + T481 + ... + T668.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31470984 and 31471002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11229 + ... + 13748.

It is an arithmetic number, because the mean of its divisors is an integer number (1515332).

Almost surely, 231471020 is an apocalyptic number.

31471020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31471020 is an abundant number, since it is smaller than the sum of its proper divisors (77632884).

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

31471020 is a wasteful number, since it uses less digits than its factorization.

31471020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24999 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 31471020 is about 5609.9037424897. The cubic root of 31471020 is about 315.7210993195.

Adding to 31471020 its reverse (2017413), we get a palindrome (33488433).

The spelling of 31471020 in words is "thirty-one million, four hundred seventy-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 24977 49954 74931 99908 124885 149862 174839 224793 249770 299724 349678 374655 449586 499540 524517 699356 749310 874195 899172 1049034 1123965 1498620 1573551 1748390 2098068 2247930 2622585 3147102 3496780 4495860 5245170 6294204 7867755 10490340 15735510 31471020