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3675814020 = 223453376733
BaseRepresentation
bin1101101100011000…
…0111100010000100
3100111011200200220000
43123012013202010
530012002022040
61404425241300
7160042621644
oct33306074204
910434620800
103675814020
1116169a052a
12867033230
134677060a8
1426c286524
15167a8a130
hexdb187884

3675814020 has 120 divisors (see below), whose sum is σ = 11567099544. Its totient is φ = 977163264.

The previous prime is 3675813997. The next prime is 3675814073. The reversal of 3675814020 is 204185763.

3675814020 is a `hidden beast` number, since 36 + 7 + 581 + 40 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1031180544 + 2644633476 = 32112^2 + 51426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 542574 + ... + 549306.

Almost surely, 23675814020 is an apocalyptic number.

3675814020 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 3675814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783549772).

3675814020 is an abundant number, since it is smaller than the sum of its proper divisors (7891285524).

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

3675814020 is a wasteful number, since it uses less digits than its factorization.

3675814020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3675814020 is about 60628.4918169667. The cubic root of 3675814020 is about 1543.3029155041.

Adding to 3675814020 its reverse (204185763), we get a palindrome (3879999783).

The spelling of 3675814020 in words is "three billion, six hundred seventy-five million, eight hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 337 405 540 674 810 1011 1348 1620 1685 2022 3033 3370 4044 5055 6066 6733 6740 9099 10110 12132 13466 15165 18198 20199 20220 26932 27297 30330 33665 36396 40398 45495 54594 60597 60660 67330 80796 90990 100995 109188 121194 134660 136485 181791 181980 201990 242388 272970 302985 363582 403980 545373 545940 605970 727164 908955 1090746 1211940 1817910 2181492 2269021 2726865 3635820 4538042 5453730 6807063 9076084 10907460 11345105 13614126 20421189 22690210 27228252 34035315 40842378 45380420 61263567 68070630 81684756 102105945 122527134 136141260 183790701 204211890 245054268 306317835 367581402 408423780 612635670 735162804 918953505 1225271340 1837907010 3675814020