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2720480 = 25572347
BaseRepresentation
bin1010011000001011100000
312010012210112
422120023200
51144023410
6134150452
732060300
oct12301340
95105715
102720480
111598a34
12ab2428
13743369
1450b600
1538b105
hex2982e0

2720480 has 72 divisors (see below), whose sum is σ = 7498008. Its totient is φ = 930048.

The previous prime is 2720447. The next prime is 2720503. The reversal of 2720480 is 840272.

It is a super-2 number, since 2×27204802 = 14802022860800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7667 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (104139).

22720480 is an apocalyptic number.

2720480 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 2720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749004).

2720480 is an abundant number, since it is smaller than the sum of its proper divisors (4777528).

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

2720480 is a wasteful number, since it uses less digits than its factorization.

2720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2720480 is about 1649.3877652026. The cubic root of 2720480 is about 139.5988516694.

The spelling of 2720480 in words is "two million, seven hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 347 392 490 560 694 784 980 1120 1388 1568 1735 1960 2429 2776 3470 3920 4858 5552 6940 7840 9716 11104 12145 13880 17003 19432 24290 27760 34006 38864 48580 55520 68012 77728 85015 97160 136024 170030 194320 272048 340060 388640 544096 680120 1360240 2720480