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42305520 = 24351710369
BaseRepresentation
bin1010000101100…
…0011111110000
32221121100021010
42201120133300
541312234040
64110430520
71022406465
oct241303760
987540233
1042305520
1121975844
1212202440
1389c306a
14589366c
153aa9e80
hex28587f0

42305520 has 80 divisors (see below), whose sum is σ = 138875040. Its totient is φ = 10616832.

The previous prime is 42305491. The next prime is 42305531. The reversal of 42305520 is 2550324.

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

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, 1105 + ... + 9264.

It is an arithmetic number, because the mean of its divisors is an integer number (1735938).

Almost surely, 242305520 is an apocalyptic number.

42305520 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 42305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69437520).

42305520 is an abundant number, since it is smaller than the sum of its proper divisors (96569520).

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

42305520 is a wasteful number, since it uses less digits than its factorization.

42305520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42305520 is about 6504.2693671157. The cubic root of 42305520 is about 348.4434826873.

Adding to 42305520 its reverse (2550324), we get a palindrome (44855844).

The spelling of 42305520 in words is "forty-two million, three hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 10369 20738 31107 41476 51845 62214 82952 103690 124428 155535 165904 176273 207380 248856 311070 352546 414760 497712 528819 622140 705092 829520 881365 1057638 1244280 1410184 1762730 2115276 2488560 2644095 2820368 3525460 4230552 5288190 7050920 8461104 10576380 14101840 21152760 42305520