Search a number
-
+
2904080 = 245311171
BaseRepresentation
bin1011000101000000010000
312110112122112
423011000100
51220412310
6142124452
733453464
oct13050020
95415575
102904080
111703973
12b80728
137a8aba
145584a4
153c5705
hex2c5010

2904080 has 40 divisors (see below), whose sum is σ = 6975744. Its totient is φ = 1123200.

The previous prime is 2904073. The next prime is 2904103. The reversal of 2904080 is 804092.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895 + ... + 3065.

22904080 is an apocalyptic number.

2904080 is a gapful number since it is divisible by the number (20) 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 2904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487872).

2904080 is an abundant number, since it is smaller than the sum of its proper divisors (4071664).

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

2904080 is a wasteful number, since it uses less digits than its factorization.

2904080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2904080 is about 1704.1361447959. The cubic root of 2904080 is about 142.6711598822.

The spelling of 2904080 in words is "two million, nine hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1171 1240 2342 2480 4684 5855 9368 11710 18736 23420 36301 46840 72602 93680 145204 181505 290408 363010 580816 726020 1452040 2904080