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3680377110 = 2325311131489
BaseRepresentation
bin1101101101011110…
…0001100100010110
3100111111021112021100
43123113201210112
530014134031420
61405111130530
7160126455264
oct33327414426
910444245240
103680377110
111619527883
12868673a46
13468643047
1426cb13434
1516818c190
hexdb5e1916

3680377110 has 48 divisors (see below), whose sum is σ = 9599821920. Its totient is φ = 978270720.

The previous prime is 3680377109. The next prime is 3680377139. The reversal of 3680377110 is 117730863.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37755 + ... + 93734.

It is an arithmetic number, because the mean of its divisors is an integer number (199996290).

Almost surely, 23680377110 is an apocalyptic number.

3680377110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3680377110 is an abundant number, since it is smaller than the sum of its proper divisors (5919444810).

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

3680377110 is a wasteful number, since it uses less digits than its factorization.

3680377110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131813 (or 131810 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3680377110 is about 60666.1117099159. Note that the first 3 decimals coincide. The cubic root of 3680377110 is about 1543.9412610096.

The spelling of 3680377110 in words is "three billion, six hundred eighty million, three hundred seventy-seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 311 622 933 1555 1866 2799 3110 4665 5598 9330 13995 27990 131489 262978 394467 657445 788934 1183401 1314890 1972335 2366802 3944670 5917005 11834010 40893079 81786158 122679237 204465395 245358474 368037711 408930790 613396185 736075422 1226792370 1840188555 3680377110