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2064020 = 225723641
BaseRepresentation
bin111110111111010010100
310212212022012
413313322110
51012022040
6112123352
723354360
oct7677224
93785265
102064020
11118a802
12836558
1357361a
143ba2a0
152ab865
hex1f7e94

2064020 has 48 divisors (see below), whose sum is σ = 5177088. Its totient is φ = 675840.

The previous prime is 2063993. The next prime is 2064031. The reversal of 2064020 is 204602.

2064020 = T207 + T208 + ... + T276.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2063986 and 2064004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2900 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (107856).

22064020 is an apocalyptic number.

2064020 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 2064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588544).

2064020 is an abundant number, since it is smaller than the sum of its proper divisors (3113068).

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

2064020 is a wasteful number, since it uses less digits than its factorization.

2064020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2064020 is about 1436.6697602442. The cubic root of 2064020 is about 127.3223464536.

Adding to 2064020 its reverse (204602), we get a palindrome (2268622).

The spelling of 2064020 in words is "two million, sixty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 641 644 805 1282 1610 2564 3205 3220 4487 6410 8974 12820 14743 17948 22435 29486 44870 58972 73715 89740 103201 147430 206402 294860 412804 516005 1032010 2064020