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2672880 = 243573743
BaseRepresentation
bin1010001100100011110000
312000210111120
422030203300
51141013010
6133142240
731501440
oct12144360
95023446
102672880
1115661a1
12a8a980
137277b2
144d8120
1537be70
hex28c8f0

2672880 has 160 divisors (see below), whose sum is σ = 9951744. Its totient is φ = 580608.

The previous prime is 2672867. The next prime is 2672881. The reversal of 2672880 is 882762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62139 + ... + 62181.

22672880 is an apocalyptic number.

2672880 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 2672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975872).

2672880 is an abundant number, since it is smaller than the sum of its proper divisors (7278864).

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

2672880 is a wasteful number, since it uses less digits than its factorization.

2672880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2672880 is about 1634.8944920086. The cubic root of 2672880 is about 138.7798734475.

The spelling of 2672880 in words is "two million, six hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 43 48 56 60 70 74 80 84 86 105 111 112 120 129 140 148 168 172 185 210 215 222 240 258 259 280 296 301 336 344 370 420 430 444 516 518 555 560 592 602 645 688 740 777 840 860 888 903 1032 1036 1110 1204 1290 1295 1480 1505 1554 1591 1680 1720 1776 1806 2064 2072 2220 2408 2580 2590 2960 3010 3108 3182 3440 3612 3885 4144 4440 4515 4773 4816 5160 5180 6020 6216 6364 7224 7770 7955 8880 9030 9546 10320 10360 11137 12040 12432 12728 14448 15540 15910 18060 19092 20720 22274 23865 24080 25456 31080 31820 33411 36120 38184 44548 47730 55685 62160 63640 66822 72240 76368 89096 95460 111370 127280 133644 167055 178192 190920 222740 267288 334110 381840 445480 534576 668220 890960 1336440 2672880