Search a number
-
+
3680369520 = 243515334873
BaseRepresentation
bin1101101101011101…
…1111101101110000
3100111111021010212020
43123113133231300
530014133311040
61405111031440
7160126424202
oct33327375560
910444233766
103680369520
111619522103
1286866b580
1346863c759
1426cb10772
15168189cd0
hexdb5dfb70

3680369520 has 40 divisors (see below), whose sum is σ = 11409146256. Its totient is φ = 981431808.

The previous prime is 3680369519. The next prime is 3680369531. The reversal of 3680369520 is 259630863.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7667197 + ... + 7667676.

Almost surely, 23680369520 is an apocalyptic number.

3680369520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3680369520 is an abundant number, since it is smaller than the sum of its proper divisors (7728776736).

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

3680369520 is a wasteful number, since it uses less digits than its factorization.

3680369520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15334889 (or 15334883 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3680369520 is about 60666.0491543664. The cubic root of 3680369520 is about 1543.9401996580.

The spelling of 3680369520 in words is "three billion, six hundred eighty million, three hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15334873 30669746 46004619 61339492 76674365 92009238 122678984 153348730 184018476 230023095 245357968 306697460 368036952 460046190 613394920 736073904 920092380 1226789840 1840184760 3680369520