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3253780660 = 2251328111187
BaseRepresentation
bin1100000111110000…
…1100000010110100
322101202120011221211
43001330030002310
523130431440120
61254511451204
7143426451664
oct30174140264
98352504854
103253780660
11141a746629
12769826b04
133cb14ba00
1422c1c81a4
151409c325a
hexc1f0c0b4

3253780660 has 72 divisors (see below), whose sum is σ = 7414346016. Its totient is φ = 1198903680.

The previous prime is 3253780627. The next prime is 3253780661. The reversal of 3253780660 is 660873523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253780661) 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 23 ways as a sum of consecutive naturals, for example, 2740587 + ... + 2741773.

It is an arithmetic number, because the mean of its divisors is an integer number (102977028).

Almost surely, 23253780660 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 3253780660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707173008).

3253780660 is an abundant number, since it is smaller than the sum of its proper divisors (4160565356).

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

3253780660 is a wasteful number, since it uses less digits than its factorization.

3253780660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 3253780660 is about 57041.9201990957. The cubic root of 3253780660 is about 1481.8221803680.

The spelling of 3253780660 in words is "three billion, two hundred fifty-three million, seven hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 811 845 1187 1622 1690 2374 3244 3380 4055 4748 5935 8110 10543 11870 15431 16220 21086 23740 30862 42172 52715 61724 77155 105430 137059 154310 200603 210860 274118 308620 401206 548236 685295 802412 962657 1003015 1370590 1925314 2006030 2741180 3850628 4012060 4813285 9626570 12514541 19253140 25029082 50058164 62572705 125145410 162689033 250290820 325378066 650756132 813445165 1626890330 3253780660