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3868080 = 243571227
BaseRepresentation
bin1110110000010110110000
321021112000020
432300112300
51442234310
6214523440
744610126
oct16602660
97245006
103868080
112202167
121366580
13a55808
14729916
15516170
hex3b05b0

3868080 has 80 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 1012480.

The previous prime is 3868079. The next prime is 3868093. The reversal of 3868080 is 808683.

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

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, 16927 + ... + 17153.

Almost surely, 23868080 is an apocalyptic number.

3868080 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 3868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

3868080 is an abundant number, since it is smaller than the sum of its proper divisors (8345424).

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

3868080 is a wasteful number, since it uses less digits than its factorization.

3868080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3868080 is about 1966.7435013240. The cubic root of 3868080 is about 156.9754786104.

The spelling of 3868080 in words is "three million, eight hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 227 240 284 355 426 454 568 681 710 852 908 1065 1135 1136 1362 1420 1704 1816 2130 2270 2724 2840 3405 3408 3632 4260 4540 5448 5680 6810 8520 9080 10896 13620 16117 17040 18160 27240 32234 48351 54480 64468 80585 96702 128936 161170 193404 241755 257872 322340 386808 483510 644680 773616 967020 1289360 1934040 3868080