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42151720 = 23513103787
BaseRepresentation
bin1010000011001…
…0111100101000
32221022112021211
42200302330220
541242323340
64103242504
71021166212
oct240627450
987275254
1042151720
1121880236
1212149434
13896b060
1458535b2
153a795ea
hex2832f28

42151720 has 64 divisors (see below), whose sum is σ = 103259520. Its totient is φ = 15393024.

The previous prime is 42151699. The next prime is 42151729. The reversal of 42151720 is 2715124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42151691 and 42151700.

It is not an unprimeable number, because it can be changed into a prime (42151729) by changing a digit.

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, 53167 + ... + 53953.

It is an arithmetic number, because the mean of its divisors is an integer number (1613430).

Almost surely, 242151720 is an apocalyptic number.

42151720 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 42151720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51629760).

42151720 is an abundant number, since it is smaller than the sum of its proper divisors (61107800).

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

42151720 is a wasteful number, since it uses less digits than its factorization.

42151720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 42151720 is about 6492.4355984484. The cubic root of 42151720 is about 348.0207192491.

Adding to 42151720 its reverse (2715124), we get a palindrome (44866844).

The spelling of 42151720 in words is "forty-two million, one hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 787 824 1030 1339 1574 2060 2678 3148 3935 4120 5356 6296 6695 7870 10231 10712 13390 15740 20462 26780 31480 40924 51155 53560 81061 81848 102310 162122 204620 324244 405305 409240 648488 810610 1053793 1621220 2107586 3242440 4215172 5268965 8430344 10537930 21075860 42151720