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3148080 = 2435131009
BaseRepresentation
bin1100000000100100110000
312220221100120
430000210300
51301214310
6151250240
735521035
oct14004460
95827316
103148080
111860221
121079980
13862b90
145bd38c
15422b70
hex300930

3148080 has 80 divisors (see below), whose sum is σ = 10520160. Its totient is φ = 774144.

The previous prime is 3148051. The next prime is 3148097. The reversal of 3148080 is 808413.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3148080.

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, 2616 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (131502).

Almost surely, 23148080 is an apocalyptic number.

3148080 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 3148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260080).

3148080 is an abundant number, since it is smaller than the sum of its proper divisors (7372080).

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

3148080 is a wasteful number, since it uses less digits than its factorization.

3148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3148080 is about 1774.2829537591. The cubic root of 3148080 is about 146.5599315262.

The spelling of 3148080 in words is "three million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1009 1040 1560 2018 3027 3120 4036 5045 6054 8072 10090 12108 13117 15135 16144 20180 24216 26234 30270 39351 40360 48432 52468 60540 65585 78702 80720 104936 121080 131170 157404 196755 209872 242160 262340 314808 393510 524680 629616 787020 1049360 1574040 3148080