Search a number
-
+
42110320 = 2457292593
BaseRepresentation
bin1010000010100…
…0110101110000
32221020102111111
42200220311300
541240012240
64102323104
71020634420
oct240506560
987212444
1042110320
112185211a
1212129494
138955265
145842480
153a6c1ea
hex2828d70

42110320 has 80 divisors (see below), whose sum is σ = 115796160. Its totient is φ = 13934592.

The previous prime is 42110303. The next prime is 42110347. The reversal of 42110320 is 2301124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42110320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14944 + ... + 17536.

It is an arithmetic number, because the mean of its divisors is an integer number (1447452).

Almost surely, 242110320 is an apocalyptic number.

42110320 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 42110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57898080).

42110320 is an abundant number, since it is smaller than the sum of its proper divisors (73685840).

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

42110320 is a wasteful number, since it uses less digits than its factorization.

42110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42110320 is about 6489.2464893853. The cubic root of 42110320 is about 347.9067438495.

Adding to 42110320 its reverse (2301124), we get a palindrome (44411444).

The spelling of 42110320 in words is "forty-two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 2593 3248 4060 5186 8120 10372 12965 16240 18151 20744 25930 36302 41488 51860 72604 75197 90755 103720 145208 150394 181510 207440 290416 300788 363020 375985 526379 601576 726040 751970 1052758 1203152 1452080 1503940 2105516 2631895 3007880 4211032 5263790 6015760 8422064 10527580 21055160 42110320