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904142120 = 23572461297
BaseRepresentation
bin110101111001000…
…001110100101000
32100000022011211012
4311321001310220
53322430021440
6225414523052
731256036600
oct6571016450
92300264735
10904142120
114244013a2
12212966488
13115416b4b
1488117c00
1554598e65
hex35e41d28

904142120 has 48 divisors (see below), whose sum is σ = 2366458740. Its totient is φ = 309990912.

The previous prime is 904142111. The next prime is 904142131. The reversal of 904142120 is 21241409.

It can be written as a sum of positive squares in 2 ways, for example, as 826102564 + 78039556 = 28742^2 + 8834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228689 + ... + 232608.

Almost surely, 2904142120 is an apocalyptic number.

It is an amenable number.

904142120 is an abundant number, since it is smaller than the sum of its proper divisors (1462316620).

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

904142120 is a wasteful number, since it uses less digits than its factorization.

904142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461322 (or 461311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 904142120 is about 30068.9560843073. The cubic root of 904142120 is about 966.9682932440.

Adding to 904142120 its reverse (21241409), we get a palindrome (925383529).

The spelling of 904142120 in words is "nine hundred four million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 461297 922594 1845188 2306485 3229079 3690376 4612970 6458158 9225940 12916316 16145395 18451880 22603553 25832632 32290790 45207106 64581580 90414212 113017765 129163160 180828424 226035530 452071060 904142120