Search a number
-
+
42063360 = 29355477
BaseRepresentation
bin1010000001110…
…1011000000000
32221011001002020
42200131120000
541232011420
64101321440
71020350463
oct240353000
987131066
1042063360
112181a909
1212106280
138939a81
14582d2da
153a5d340
hex281d600

42063360 has 80 divisors (see below), whose sum is σ = 134495856. Its totient is φ = 11214848.

The previous prime is 42063353. The next prime is 42063361. The reversal of 42063360 is 6336024.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42063360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42063361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4942 + ... + 10418.

Almost surely, 242063360 is an apocalyptic number.

42063360 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 42063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67247928).

42063360 is an abundant number, since it is smaller than the sum of its proper divisors (92432496).

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

42063360 is an equidigital number, since it uses as much as digits as its factorization.

42063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 42063360 is about 6485.6271863252. The cubic root of 42063360 is about 347.7773711483. Note that the first 3 decimals are identical.

Adding to 42063360 its reverse (6336024), we get a palindrome (48399384).

The spelling of 42063360 in words is "forty-two million, sixty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 5477 7680 10954 16431 21908 27385 32862 43816 54770 65724 82155 87632 109540 131448 164310 175264 219080 262896 328620 350528 438160 525792 657240 701056 876320 1051584 1314480 1402112 1752640 2103168 2628960 2804224 3505280 4206336 5257920 7010560 8412672 10515840 14021120 21031680 42063360