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42314020 = 22571723773
BaseRepresentation
bin1010000101101…
…0100100100100
32221121202220221
42201122210210
541313022040
64110534124
71022443330
oct241324444
987552827
1042314020
1121981171
1212207344
1389c6ba8
1458967c0
153aac74a
hex285a924

42314020 has 96 divisors (see below), whose sum is σ = 112347648. Its totient is φ = 13043712.

The previous prime is 42314017. The next prime is 42314081. The reversal of 42314020 is 2041324.

It is a junction number, because it is equal to n+sod(n) for n = 42313985 and 42314003.

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, 54354 + ... + 55126.

It is an arithmetic number, because the mean of its divisors is an integer number (1170288).

Almost surely, 242314020 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 42314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56173824).

42314020 is an abundant number, since it is smaller than the sum of its proper divisors (70033628).

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

42314020 is a wasteful number, since it uses less digits than its factorization.

42314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42314020 is about 6504.9227512708. The cubic root of 42314020 is about 348.4668174773.

Adding to 42314020 its reverse (2041324), we get a palindrome (44355344).

The spelling of 42314020 in words is "forty-two million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 773 782 805 1190 1546 1564 1610 1955 2380 2737 3092 3220 3865 3910 5411 5474 7730 7820 10822 10948 13141 13685 15460 17779 21644 26282 27055 27370 35558 52564 54110 54740 65705 71116 88895 91987 108220 124453 131410 177790 183974 248906 262820 302243 355580 367948 459935 497812 604486 622265 919870 1208972 1244530 1511215 1839740 2115701 2489060 3022430 4231402 6044860 8462804 10578505 21157010 42314020