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3820565640 = 2335313101719
BaseRepresentation
bin1110001110111001…
…0011010010001000
3100212021001211210010
43203232103102020
530311031100030
61431035551520
7163451162223
oct34356232210
910767054703
103820565640
111690678571
128a75bb5a0
1348b6b8138
142835a65ba
1517562e6b0
hexe3b93488

3820565640 has 64 divisors (see below), whose sum is σ = 11498428800. Its totient is φ = 1015552512.

The previous prime is 3820565629. The next prime is 3820565653. The reversal of 3820565640 is 465650283.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13300 + ... + 88419.

It is an arithmetic number, because the mean of its divisors is an integer number (179662950).

Almost surely, 23820565640 is an apocalyptic number.

3820565640 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 3820565640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749214400).

3820565640 is an abundant number, since it is smaller than the sum of its proper divisors (7677863160).

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

3820565640 is a wasteful number, since it uses less digits than its factorization.

3820565640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102046 (or 102042 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 3820565640 is about 61810.7243122098. The cubic root of 3820565640 is about 1563.3008182063.

The spelling of 3820565640 in words is "three billion, eight hundred twenty million, five hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3756 4695 6260 7512 9390 12520 18780 37560 101719 203438 305157 406876 508595 610314 813752 1017190 1220628 1525785 2034380 2441256 3051570 4068760 6103140 12206280 31838047 63676094 95514141 127352188 159190235 191028282 254704376 318380470 382056564 477570705 636760940 764113128 955141410 1273521880 1910282820 3820565640