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3690669060 = 223251317192257
BaseRepresentation
bin1101101111111011…
…0010010000000100
3100112012122102011200
43123332302100010
530024302402220
61410115502500
7160313112051
oct33376622004
910465572150
103690669060
111624317321
1286bbb7a30
1346a807760
14270232028
15169021890
hexdbfb2404

3690669060 has 432 divisors, whose sum is σ = 13525018416. Its totient is φ = 806879232.

The previous prime is 3690669023. The next prime is 3690669083. The reversal of 3690669060 is 609660963.

3690669060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 163021824 + 3527647236 = 12768^2 + 59394^2 .

It is a super-5 number, since 5×36906690605 (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3690668997 and 3690669015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14360452 + ... + 14360708.

It is an arithmetic number, because the mean of its divisors is an integer number (31307913).

Almost surely, 23690669060 is an apocalyptic number.

3690669060 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 3690669060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762509208).

3690669060 is an abundant number, since it is smaller than the sum of its proper divisors (9834349356).

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

3690669060 is a wasteful number, since it uses less digits than its factorization.

3690669060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3690669060 is about 60750.8770307063. The cubic root of 3690669060 is about 1545.3791007377.

The spelling of 3690669060 in words is "three billion, six hundred ninety million, six hundred sixty-nine thousand, sixty".