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42703120 = 2453167257
BaseRepresentation
bin1010001011100…
…1100100010000
32222100112200001
42202321210100
541412444440
64123135344
71025653615
oct242714420
988315601
1042703120
1122117539
1212374554
138b02025
14595850c
153b37b9a
hex28b9910

42703120 has 80 divisors (see below), whose sum is σ = 104421888. Its totient is φ = 16220160.

The previous prime is 42703117. The next prime is 42703121. The reversal of 42703120 is 2130724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42703121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166032 + ... + 166288.

Almost surely, 242703120 is an apocalyptic number.

42703120 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 42703120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52210944).

42703120 is an abundant number, since it is smaller than the sum of its proper divisors (61718768).

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

42703120 is a wasteful number, since it uses less digits than its factorization.

42703120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 42703120 is about 6534.7624287345. The cubic root of 42703120 is about 349.5316729414.

Adding to 42703120 its reverse (2130724), we get a palindrome (44833844).

The spelling of 42703120 in words is "forty-two million, seven hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 67 80 124 134 155 248 257 268 310 335 496 514 536 620 670 1028 1072 1240 1285 1340 2056 2077 2480 2570 2680 4112 4154 5140 5360 7967 8308 10280 10385 15934 16616 17219 20560 20770 31868 33232 34438 39835 41540 63736 68876 79670 83080 86095 127472 137752 159340 166160 172190 275504 318680 344380 533789 637360 688760 1067578 1377520 2135156 2668945 4270312 5337890 8540624 10675780 21351560 42703120