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1042080 = 253513167
BaseRepresentation
bin11111110011010100000
31221221110120
43332122200
5231321310
634200240
711600064
oct3763240
91857416
101042080
11651a26
12423080
132a6420
141d1aa4
15158b70
hexfe6a0

1042080 has 96 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 254976.

The previous prime is 1042043. The next prime is 1042081. The reversal of 1042080 is 802401.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1042081) 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 15 ways as a sum of consecutive naturals, for example, 6157 + ... + 6323.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

21042080 is an apocalyptic number.

1042080 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 1042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1042080 is an abundant number, since it is smaller than the sum of its proper divisors (2514144).

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

1042080 is a wasteful number, since it uses less digits than its factorization.

1042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

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

The square root of 1042080 is about 1020.8231972286. The cubic root of 1042080 is about 101.3834393629.

Adding to 1042080 its reverse (802401), we get a palindrome (1844481).

The spelling of 1042080 in words is "one million, forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 167 195 208 240 260 312 334 390 416 480 501 520 624 668 780 835 1002 1040 1248 1336 1560 1670 2004 2080 2171 2505 2672 3120 3340 4008 4342 5010 5344 6240 6513 6680 8016 8684 10020 10855 13026 13360 16032 17368 20040 21710 26052 26720 32565 34736 40080 43420 52104 65130 69472 80160 86840 104208 130260 173680 208416 260520 347360 521040 1042080