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42060040 = 23511175623
BaseRepresentation
bin1010000001110…
…0100100001000
32221010212112021
42200130210020
541231410130
64101254224
71020335011
oct240344410
987125467
1042060040
1121818370
1212104374
1389383c9
14582c008
153a5c37a
hex281c908

42060040 has 64 divisors (see below), whose sum is σ = 109330560. Its totient is φ = 14392320.

The previous prime is 42060037. The next prime is 42060047. The reversal of 42060040 is 4006024.

It is a junction number, because it is equal to n+sod(n) for n = 42059996 and 42060023.

It is not an unprimeable number, because it can be changed into a prime (42060047) 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, 4669 + ... + 10291.

It is an arithmetic number, because the mean of its divisors is an integer number (1708290).

Almost surely, 242060040 is an apocalyptic number.

42060040 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 42060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665280).

42060040 is an abundant number, since it is smaller than the sum of its proper divisors (67270520).

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

42060040 is a wasteful number, since it uses less digits than its factorization.

42060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42060040 is about 6485.3712307007. The cubic root of 42060040 is about 347.7682210531.

Adding to 42060040 its reverse (4006024), we get a palindrome (46066064).

The spelling of 42060040 in words is "forty-two million, sixty thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5623 7480 11246 22492 28115 44984 56230 61853 95591 112460 123706 191182 224920 247412 309265 382364 477955 494824 618530 764728 955910 1051501 1237060 1911820 2103002 2474120 3823640 4206004 5257505 8412008 10515010 21030020 42060040