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2874880 = 2951123
BaseRepresentation
bin1010111101111000000000
312102001121001
422331320000
51213444010
6141341344
733302401
oct12757000
95361531
102874880
111693a38
12b67854
13798718
1454b9a8
153bbc3a
hex2bde00

2874880 has 40 divisors (see below), whose sum is σ = 6899112. Its totient is φ = 1148928.

The previous prime is 2874877. The next prime is 2874881. The reversal of 2874880 is 884782.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1999 + ... + 3121.

22874880 is an apocalyptic number.

2874880 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 2874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449556).

2874880 is an abundant number, since it is smaller than the sum of its proper divisors (4024232).

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

2874880 is an equidigital number, since it uses as much as digits as its factorization.

2874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 2874880 is about 1695.5471093426. The cubic root of 2874880 is about 142.1913706228.

The spelling of 2874880 in words is "two million, eight hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1123 1280 2246 2560 4492 5615 8984 11230 17968 22460 35936 44920 71872 89840 143744 179680 287488 359360 574976 718720 1437440 2874880