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2420064 = 25332801
BaseRepresentation
bin1001001110110101100000
311112221201000
421032311200
51104420224
6123512000
726366403
oct11166540
94487630
102420064
111403259
12988600
136696ba
1446dd3a
1532c0c9
hex24ed60

2420064 has 48 divisors (see below), whose sum is σ = 7061040. Its totient is φ = 806400.

The previous prime is 2420063. The next prime is 2420071. The reversal of 2420064 is 4600242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (147105).

22420064 is an apocalyptic number.

2420064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2420064 is an abundant number, since it is smaller than the sum of its proper divisors (4640976).

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

2420064 is a wasteful number, since it uses less digits than its factorization.

2420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2420064 is about 1555.6554888535. The cubic root of 2420064 is about 134.2586524182.

The spelling of 2420064 in words is "two million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2801 5602 8403 11204 16806 22408 25209 33612 44816 50418 67224 75627 89632 100836 134448 151254 201672 268896 302508 403344 605016 806688 1210032 2420064