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1024080 = 243517251
BaseRepresentation
bin11111010000001010000
31221000202220
43322001100
5230232310
633541040
711463441
oct3720120
91830686
101024080
1163a452
12414780
1329b185
141c92c8
15153670
hexfa050

1024080 has 80 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 256000.

The previous prime is 1024073. The next prime is 1024087. The reversal of 1024080 is 804201.

It is an interprime number because it is at equal distance from previous prime (1024073) and next prime (1024087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3955 + ... + 4205.

21024080 is an apocalyptic number.

1024080 is a gapful number since it is divisible by the number (10) 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 1024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1024080 is an abundant number, since it is smaller than the sum of its proper divisors (2350704).

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

1024080 is a wasteful number, since it uses less digits than its factorization.

1024080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1024080 is about 1011.9683789526. The cubic root of 1024080 is about 100.7963087588.

Adding to 1024080 its product of nonzero digits (64), we get a square (1024144 = 10122).

Adding to 1024080 its reverse (804201), we get a palindrome (1828281).

It can be divided in two parts, 10 and 24080, that added together give a triangular number (24090 = T219).

The spelling of 1024080 in words is "one million, twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 251 255 272 340 408 502 510 680 753 816 1004 1020 1255 1360 1506 2008 2040 2510 3012 3765 4016 4080 4267 5020 6024 7530 8534 10040 12048 12801 15060 17068 20080 21335 25602 30120 34136 42670 51204 60240 64005 68272 85340 102408 128010 170680 204816 256020 341360 512040 1024080