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42170520 = 2335761823
BaseRepresentation
bin1010000011011…
…1100010011000
32221100111002010
42200313202120
541243424040
64103505520
71021305060
oct240674230
987314063
1042170520
1121893377
12121582a0
138976792
14585a3a0
153a7ee80
hex2837898

42170520 has 128 divisors (see below), whose sum is σ = 147133440. Its totient is φ = 9469440.

The previous prime is 42170507. The next prime is 42170533. The reversal of 42170520 is 2507124.

It is an interprime number because it is at equal distance from previous prime (42170507) and next prime (42170533).

It is a super-3 number, since 3×421705203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 50829 + ... + 51651.

It is an arithmetic number, because the mean of its divisors is an integer number (1149480).

Almost surely, 242170520 is an apocalyptic number.

42170520 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 42170520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73566720).

42170520 is an abundant number, since it is smaller than the sum of its proper divisors (104962920).

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

42170520 is a wasteful number, since it uses less digits than its factorization.

42170520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

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

The square root of 42170520 is about 6493.8832758219. The cubic root of 42170520 is about 348.0724515552.

Adding to 42170520 its reverse (2507124), we get a palindrome (44677644).

The spelling of 42170520 in words is "forty-two million, one hundred seventy thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 823 840 854 915 1220 1281 1464 1646 1708 1830 2135 2440 2469 2562 3292 3416 3660 4115 4270 4938 5124 5761 6405 6584 7320 8230 8540 9876 10248 11522 12345 12810 16460 17080 17283 19752 23044 24690 25620 28805 32920 34566 46088 49380 50203 51240 57610 69132 86415 98760 100406 115220 138264 150609 172830 200812 230440 251015 301218 345660 351421 401624 502030 602436 691320 702842 753045 1004060 1054263 1204872 1405684 1506090 1757105 2008120 2108526 2811368 3012180 3514210 4217052 5271315 6024360 7028420 8434104 10542630 14056840 21085260 42170520