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1960168 = 237172971
BaseRepresentation
bin111011110100011101000
310200120211211
413132203220
51000211133
6110002504
722442530
oct7364350
93616754
101960168
111119781
127a6434
13538282
143904c0
1528abcd
hex1de8e8

1960168 has 64 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 752640.

The previous prime is 1960163. The next prime is 1960177. The reversal of 1960168 is 8610691.

It is a happy number.

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1960163) 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, 27573 + ... + 27643.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

21960168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

1960168 is an abundant number, since it is smaller than the sum of its proper divisors (2705432).

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

1960168 is a wasteful number, since it uses less digits than its factorization.

1960168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1960168 is about 1400.0599987143. The cubic root of 1960168 is about 125.1500704255.

The spelling of 1960168 in words is "one million, nine hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 71 116 119 136 142 203 232 238 284 406 476 493 497 568 812 952 986 994 1207 1624 1972 1988 2059 2414 3451 3944 3976 4118 4828 6902 8236 8449 9656 13804 14413 16472 16898 27608 28826 33796 35003 57652 67592 70006 115304 140012 245021 280024 490042 980084 1960168