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3680006620 = 2252937916741
BaseRepresentation
bin1101101101011000…
…0111000111011100
3100111110120201001111
43123112013013130
530014040202440
61405055151404
7160123353163
oct33326070734
910443521044
103680006620
1116192a4494
12868515564
13468543514
1426ca583da
151681174ea
hexdb5871dc

3680006620 has 48 divisors (see below), whose sum is σ = 8016069600. Its totient is φ = 1417409280.

The previous prime is 3680006593. The next prime is 3680006623. The reversal of 3680006620 is 266000863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680006623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211450 + ... + 228190.

It is an arithmetic number, because the mean of its divisors is an integer number (167001450).

Almost surely, 23680006620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008034800).

3680006620 is an abundant number, since it is smaller than the sum of its proper divisors (4336062980).

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

3680006620 is a wasteful number, since it uses less digits than its factorization.

3680006620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17158 (or 17156 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3680006620 is about 60663.0581161220. The cubic root of 3680006620 is about 1543.8894516455.

The spelling of 3680006620 in words is "three billion, six hundred eighty million, six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 379 580 758 1516 1895 3790 7580 10991 16741 21982 33482 43964 54955 66964 83705 109910 167410 219820 334820 485489 970978 1941956 2427445 4854890 6344839 9709780 12689678 25379356 31724195 63448390 126896780 184000331 368000662 736001324 920001655 1840003310 3680006620