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42015720 = 2335379463
BaseRepresentation
bin1010000001000…
…1101111101000
32221001121201210
42200101233220
541224000340
64100313120
71020061545
oct240215750
987047653
1042015720
112179803a
12120a27a0
138921196
145819bcc
153a4e180
hex2811be8

42015720 has 64 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 10900224.

The previous prime is 42015719. The next prime is 42015731. The reversal of 42015720 is 2751024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292 + ... + 9171.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 242015720 is an apocalyptic number.

42015720 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 42015720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733760).

42015720 is an abundant number, since it is smaller than the sum of its proper divisors (87451800).

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

42015720 is a wasteful number, since it uses less digits than its factorization.

42015720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 42015720 is about 6481.9534092741. The cubic root of 42015720 is about 347.6460266497.

Adding to 42015720 its reverse (2751024), we get a palindrome (44766744).

The spelling of 42015720 in words is "forty-two million, fifteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 9463 18926 28389 37852 47315 56778 75704 94630 113556 141945 189260 227112 283890 350131 378520 567780 700262 1050393 1135560 1400524 1750655 2100786 2801048 3501310 4201572 5251965 7002620 8403144 10503930 14005240 21007860 42015720