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3661300020 = 2235715157731
BaseRepresentation
bin1101101000111011…
…0000000100110100
3100110011101022102110
43122032300010310
524444243100040
61403150211020
7156505352040
oct33216600464
910404338373
103661300020
111609787994
128621b3a70
134646c3a21
1426a389020
1516666e980
hexda3b0134

3661300020 has 96 divisors (see below), whose sum is σ = 11793954816. Its totient is φ = 831312000.

The previous prime is 3661300009. The next prime is 3661300021. The reversal of 3661300020 is 200031663.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3661300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661300021) 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, 34555 + ... + 92285.

It is an arithmetic number, because the mean of its divisors is an integer number (122853696).

Almost surely, 23661300020 is an apocalyptic number.

3661300020 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 3661300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896977408).

3661300020 is an abundant number, since it is smaller than the sum of its proper divisors (8132654796).

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

3661300020 is a wasteful number, since it uses less digits than its factorization.

3661300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57901 (or 57899 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3661300020 is about 60508.6772289727. The cubic root of 3661300020 is about 1541.2689855313.

Adding to 3661300020 its reverse (200031663), we get a palindrome (3861331683).

The spelling of 3661300020 in words is "three billion, six hundred sixty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 4228 4530 5285 6342 9060 10570 12684 15855 21140 31710 57731 63420 115462 173193 230924 288655 346386 404117 577310 692772 808234 865965 1154620 1212351 1616468 1731930 2020585 2424702 3463860 4041170 4849404 6061755 8082340 8717381 12123510 17434762 24247020 26152143 34869524 43586905 52304286 61021667 87173810 104608572 122043334 130760715 174347620 183065001 244086668 261521430 305108335 366130002 523042860 610216670 732260004 915325005 1220433340 1830650010 3661300020