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3898960 = 2451323163
BaseRepresentation
bin1110110111111001010000
321100002100221
432313321100
51444231320
6215322424
745066142
oct16677120
97302327
103898960
11222338a
121380414
13a668a0
14736c92
155203aa
hex3b7e50

3898960 has 80 divisors (see below), whose sum is σ = 10249344. Its totient is φ = 1368576.

The previous prime is 3898957. The next prime is 3898981. The reversal of 3898960 is 698983.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 11.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 23839 + ... + 24001.

Almost surely, 23898960 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 3898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124672).

3898960 is an abundant number, since it is smaller than the sum of its proper divisors (6350384).

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

3898960 is a wasteful number, since it uses less digits than its factorization.

3898960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 3898960 is about 1974.5784360212. The cubic root of 3898960 is about 157.3920987667.

The spelling of 3898960 in words is "three million, eight hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 163 184 208 230 260 299 326 368 460 520 598 652 815 920 1040 1196 1304 1495 1630 1840 2119 2392 2608 2990 3260 3749 4238 4784 5980 6520 7498 8476 10595 11960 13040 14996 16952 18745 21190 23920 29992 33904 37490 42380 48737 59984 74980 84760 97474 149960 169520 194948 243685 299920 389896 487370 779792 974740 1949480 3898960