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42163120 = 2451373847
BaseRepresentation
bin1010000011010…
…1101110110000
32221100002221001
42200311232300
541243204440
64103411344
71021244356
oct240655660
987302831
1042163120
112188885a
1212153b54
1389732bc
1458577d6
153a7cb9a
hex2835bb0

42163120 has 40 divisors (see below), whose sum is σ = 98770464. Its totient is φ = 16737792.

The previous prime is 42163097. The next prime is 42163123. The reversal of 42163120 is 2136124.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42163123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9037 + ... + 12883.

Almost surely, 242163120 is an apocalyptic number.

42163120 is a gapful number since it is divisible by the number (40) 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 42163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385232).

42163120 is an abundant number, since it is smaller than the sum of its proper divisors (56607344).

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

42163120 is a wasteful number, since it uses less digits than its factorization.

42163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42163120 is about 6493.3134838848. The cubic root of 42163120 is about 348.0520906742.

Adding to 42163120 its reverse (2136124), we get a palindrome (44299244).

The spelling of 42163120 in words is "forty-two million, one hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 3847 5480 7694 10960 15388 19235 30776 38470 61552 76940 153880 307760 527039 1054078 2108156 2635195 4216312 5270390 8432624 10540780 21081560 42163120