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3783020680 = 2352310913769
BaseRepresentation
bin1110000101111100…
…0101000010001000
3100202122102100210001
43201133011002020
530221423130210
61423215132344
7162514100545
oct34137050210
910678370701
103783020680
11167146447a
12896b140b4
134839a0b9a
1427c5d1bcc
151721b503a
hexe17c5088

3783020680 has 64 divisors (see below), whose sum is σ = 8892374400. Its totient is φ = 1445706240.

The previous prime is 3783020663. The next prime is 3783020687. The reversal of 3783020680 is 860203873.

It is a super-2 number, since 2×37830206802 = 28622490930615324800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3783020687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001836 + ... + 1005604.

It is an arithmetic number, because the mean of its divisors is an integer number (138943350).

Almost surely, 23783020680 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 3783020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446187200).

3783020680 is an abundant number, since it is smaller than the sum of its proper divisors (5109353720).

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

3783020680 is a wasteful number, since it uses less digits than its factorization.

3783020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 3783020680 is about 61506.2653719115. The cubic root of 3783020680 is about 1558.1630635421.

The spelling of 3783020680 in words is "three billion, seven hundred eighty-three million, twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1091 2182 3769 4364 5455 7538 8728 10910 15076 18845 21820 25093 30152 37690 43640 50186 75380 86687 100372 125465 150760 173374 200744 250930 346748 433435 501860 693496 866870 1003720 1733740 3467480 4111979 8223958 16447916 20559895 32895832 41119790 82239580 94575517 164479160 189151034 378302068 472877585 756604136 945755170 1891510340 3783020680