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2987680 = 25571263
BaseRepresentation
bin1011011001011010100000
312121210022211
423121122200
51231101210
6144011504
734252303
oct13313240
95553284
102987680
111760763
121000b94
13807b77
1457ab3a
153e038a
hex2d96a0

2987680 has 48 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 1173760.

The previous prime is 2987659. The next prime is 2987707. The reversal of 2987680 is 867892.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 11229 + ... + 11491.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

22987680 is an apocalyptic number.

2987680 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 2987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2987680 is an abundant number, since it is smaller than the sum of its proper divisors (4197344).

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

2987680 is a wasteful number, since it uses less digits than its factorization.

2987680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2987680 is about 1728.4906710769. The cubic root of 2987680 is about 144.0272582144.

The spelling of 2987680 in words is "two million, nine hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 263 284 355 526 568 710 1052 1136 1315 1420 2104 2272 2630 2840 4208 5260 5680 8416 10520 11360 18673 21040 37346 42080 74692 93365 149384 186730 298768 373460 597536 746920 1493840 2987680