[go: up one dir, main page]

Search a number
-
+
42065940 = 22357472131
BaseRepresentation
bin1010000001111…
…0000000010100
32221011011121210
42200132000110
541232102230
64101341420
71020361140
oct240360024
987134553
1042065940
1121821844
1212107870
13893acb7
145830220
153a5deb0
hex281e014

42065940 has 96 divisors (see below), whose sum is σ = 137539584. Its totient is φ = 9406080.

The previous prime is 42065927. The next prime is 42065963. The reversal of 42065940 is 4956024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42065898 and 42065907.

It is a congruent number.

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, 18675 + ... + 20805.

It is an arithmetic number, because the mean of its divisors is an integer number (1432704).

Almost surely, 242065940 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 42065940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68769792).

42065940 is an abundant number, since it is smaller than the sum of its proper divisors (95473644).

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

42065940 is a wasteful number, since it uses less digits than its factorization.

42065940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42065940 is about 6485.8260846248. The cubic root of 42065940 is about 347.7844814320.

The spelling of 42065940 in words is "forty-two million, sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2131 2820 3290 3948 4262 4935 6393 6580 8524 9870 10655 12786 14917 19740 21310 25572 29834 31965 42620 44751 59668 63930 74585 89502 100157 127860 149170 179004 200314 223755 298340 300471 400628 447510 500785 600942 701099 895020 1001570 1201884 1402198 1502355 2003140 2103297 2804396 3004710 3505495 4206594 6009420 7010990 8413188 10516485 14021980 21032970 42065940