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3982030680 = 2335107310127
BaseRepresentation
bin1110110101011000…
…1111011101011000
3101021111220010011210
43231112033131120
531123344440210
61455044423120
7200451462615
oct35526173530
911244803153
103982030680
111763830651
129316a7aa0
134b5c9c694
1429abd750c
151848c5e20
hexed58f758

3982030680 has 64 divisors (see below), whose sum is σ = 12057776640. Its totient is φ = 1051947392.

The previous prime is 3982030667. The next prime is 3982030699. The reversal of 3982030680 is 860302893.

It is a super-2 number, since 2×39820306802 = 31713136672922524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142224 + ... + 167903.

It is an arithmetic number, because the mean of its divisors is an integer number (188402760).

Almost surely, 23982030680 is an apocalyptic number.

3982030680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3982030680 is an abundant number, since it is smaller than the sum of its proper divisors (8075745960).

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

3982030680 is a wasteful number, since it uses less digits than its factorization.

3982030680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310248 (or 310244 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3982030680 is about 63103.3333509411. Note that the first 4 decimals coincide. The cubic root of 3982030680 is about 1585.0204404480.

It can be divided in two parts, 39820 and 30680, that added together give a triangular number (70500 = T375).

The spelling of 3982030680 in words is "three billion, nine hundred eighty-two million, thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 310127 620254 930381 1240508 1550635 1860762 2481016 3101270 3721524 4651905 6202540 7443048 9303810 12405080 18607620 33183589 37215240 66367178 99550767 132734356 165917945 199101534 265468712 331835890 398203068 497753835 663671780 796406136 995507670 1327343560 1991015340 3982030680