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3920080640 = 2857437509
BaseRepresentation
bin1110100110100111…
…1010111100000000
3101010012022201200212
43221221322330000
531012020040030
61444552533252
7166100064350
oct35151727400
911105281625
103920080640
111731868673
129149b1228
134a61bbc58
142928acb60
1517e23a595
hexe9a7af00

3920080640 has 72 divisors (see below), whose sum is σ = 10731245280. Its totient is φ = 1344024576.

The previous prime is 3920080639. The next prime is 3920080657. The reversal of 3920080640 is 460800293.

3920080640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3920080597 and 3920080606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209795 + ... + 227714.

Almost surely, 23920080640 is an apocalyptic number.

It is an amenable number.

3920080640 is an abundant number, since it is smaller than the sum of its proper divisors (6811164640).

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

3920080640 is an equidigital number, since it uses as much as digits as its factorization.

3920080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437537 (or 437523 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3920080640 is about 62610.5473542597. The cubic root of 3920080640 is about 1576.7578445266.

The spelling of 3920080640 in words is "three billion, nine hundred twenty million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 437509 875018 1750036 2187545 3062563 3500072 4375090 6125126 7000144 8750180 12250252 14000288 15312815 17500360 24500504 28000576 30625630 35000720 49001008 56001152 61251260 70001440 98002016 112002304 122502520 140002880 196004032 245005040 280005760 392008064 490010080 560011520 784016128 980020160 1960040320 3920080640