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42910020 = 22335229347
BaseRepresentation
bin1010001110110…
…0000101000100
32222202001111000
42203230011010
541441110040
64131413300
71030505046
oct243540504
988661430
1042910020
1122248a2a
1212454230
138b7525a
1459ada96
153b79130
hex28ec144

42910020 has 96 divisors (see below), whose sum is σ = 134467200. Its totient is φ = 11359872.

The previous prime is 42909991. The next prime is 42910027. The reversal of 42910020 is 2001924.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42909975 and 42910002.

It is not an unprimeable number, because it can be changed into a prime (42910027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123487 + ... + 123833.

It is an arithmetic number, because the mean of its divisors is an integer number (1400700).

Almost surely, 242910020 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 42910020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67233600).

42910020 is an abundant number, since it is smaller than the sum of its proper divisors (91557180).

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

42910020 is a wasteful number, since it uses less digits than its factorization.

42910020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42910020 is about 6550.5740206489. The cubic root of 42910020 is about 350.0952665840.

Adding to 42910020 its reverse (2001924), we get a palindrome (44911944).

The spelling of 42910020 in words is "forty-two million, nine hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 229 270 347 458 540 687 694 916 1041 1145 1374 1388 1735 2061 2082 2290 2748 3123 3435 3470 4122 4164 4580 5205 6183 6246 6870 6940 8244 9369 10305 10410 12366 12492 13740 15615 18738 20610 20820 24732 30915 31230 37476 41220 46845 61830 62460 79463 93690 123660 158926 187380 238389 317852 397315 476778 715167 794630 953556 1191945 1430334 1589260 2145501 2383890 2860668 3575835 4291002 4767780 7151670 8582004 10727505 14303340 21455010 42910020