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3908970 = 2325132257
BaseRepresentation
bin1110111010010101101010
321100121002200
432322111222
52000041340
6215441030
745140262
oct16722552
97317080
103908970
11222a95a
121386176
13a6b300
1473a7a2
15523330
hex3ba56a

3908970 has 72 divisors (see below), whose sum is σ = 11048076. Its totient is φ = 958464.

The previous prime is 3908921. The next prime is 3909019. The reversal of 3908970 is 798093.

It is an interprime number because it is at equal distance from previous prime (3908921) and next prime (3909019).

It can be written as a sum of positive squares in 6 ways, for example, as 1447209 + 2461761 = 1203^2 + 1569^2 .

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15082 + ... + 15338.

Almost surely, 23908970 is an apocalyptic number.

3908970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3908970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524038).

3908970 is an abundant number, since it is smaller than the sum of its proper divisors (7139106).

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

3908970 is a wasteful number, since it uses less digits than its factorization.

3908970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3908970 is about 1977.1115294793. Note that the first 3 decimals coincide. The cubic root of 3908970 is about 157.5266772650.

The spelling of 3908970 in words is "three million, nine hundred eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 257 338 390 507 514 585 771 845 1014 1170 1285 1521 1542 1690 2313 2535 2570 3042 3341 3855 4626 5070 6682 7605 7710 10023 11565 15210 16705 20046 23130 30069 33410 43433 50115 60138 86866 100230 130299 150345 217165 260598 300690 390897 434330 651495 781794 1302990 1954485 3908970