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442117130 = 257131728579
BaseRepresentation
bin11010010110100…
…010110000001010
31010210220212200112
4122112202300022
51401140222010
6111512034322
713645635140
oct3226426012
91123825615
10442117130
11207622164
121040929a2
1370799990
1442a09590
1528c32a05
hex1a5a2c0a

442117130 has 64 divisors (see below), whose sum is σ = 1037111040. Its totient is φ = 131687424.

The previous prime is 442117111. The next prime is 442117153. The reversal of 442117130 is 31711244.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442117096 and 442117105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (16204860).

Almost surely, 2442117130 is an apocalyptic number.

442117130 is an abundant number, since it is smaller than the sum of its proper divisors (594993910).

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

442117130 is a wasteful number, since it uses less digits than its factorization.

442117130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28623.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 442117130 is about 21026.5815100791. The cubic root of 442117130 is about 761.8084415023.

Adding to 442117130 its reverse (31711244), we get a palindrome (473828374).

The spelling of 442117130 in words is "four hundred forty-two million, one hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 70 85 91 119 130 170 182 221 238 442 455 595 910 1105 1190 1547 2210 3094 7735 15470 28579 57158 142895 200053 285790 371527 400106 485843 743054 971686 1000265 1857635 2000530 2429215 2600689 3400901 3715270 4858430 5201378 6315959 6801802 12631918 13003445 17004505 26006890 31579795 34009010 44211713 63159590 88423426 221058565 442117130