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42351320 = 23511101953
BaseRepresentation
bin1010000110001…
…1101011011000
32221200200002102
42201203223120
541320220240
64111422532
71022660144
oct241435330
987620072
1042351320
11219a71a0
1212224a48
138a0ab6b
1458a6224
153ab8815
hex2863ad8

42351320 has 64 divisors (see below), whose sum is σ = 105092640. Its totient is φ = 15232000.

The previous prime is 42351311. The next prime is 42351343. The reversal of 42351320 is 2315324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42351292 and 42351301.

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, 43964 + ... + 44916.

Almost surely, 242351320 is an apocalyptic number.

42351320 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 42351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52546320).

42351320 is an abundant number, since it is smaller than the sum of its proper divisors (62741320).

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

42351320 is a wasteful number, since it uses less digits than its factorization.

42351320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42351320 is about 6507.7891791299. The cubic root of 42351320 is about 348.5691790976.

Adding to 42351320 its reverse (2315324), we get a palindrome (44666644).

It can be divided in two parts, 4235 and 1320, that added together give a palindrome (5555).

The spelling of 42351320 in words is "forty-two million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 953 1010 1111 1906 2020 2222 3812 4040 4444 4765 5555 7624 8888 9530 10483 11110 19060 20966 22220 38120 41932 44440 52415 83864 96253 104830 192506 209660 385012 419320 481265 770024 962530 1058783 1925060 2117566 3850120 4235132 5293915 8470264 10587830 21175660 42351320