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2620480 = 26519431
BaseRepresentation
bin1001111111110001000000
311221010121211
421333301000
51132323410
6132055504
731162612
oct11776100
94833554
102620480
11152a895
12a64594
137099a5
144c2db2
1536b68a
hex27fc40

2620480 has 56 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 990720.

The previous prime is 2620477. The next prime is 2620483. The reversal of 2620480 is 840262.

2620480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2620477) and next prime (2620483).

It is not an unprimeable number, because it can be changed into a prime (2620483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5865 + ... + 6295.

22620480 is an apocalyptic number.

2620480 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 2620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2620480 is an abundant number, since it is smaller than the sum of its proper divisors (3963200).

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

2620480 is a wasteful number, since it uses less digits than its factorization.

2620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2620480 is about 1618.7896713286. The cubic root of 2620480 is about 137.8669865860.

The spelling of 2620480 in words is "two million, six hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 431 608 760 862 1216 1520 1724 2155 3040 3448 4310 6080 6896 8189 8620 13792 16378 17240 27584 32756 34480 40945 65512 68960 81890 131024 137920 163780 262048 327560 524096 655120 1310240 2620480