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42140560 = 2457116841
BaseRepresentation
bin1010000011000…
…0001110010000
32221021221222111
42200300032100
541241444220
64103115104
71021121530
oct240601620
987257874
1042140560
1121872910
1212142a94
138965c57
14584d4c0
153a7615a
hex2830390

42140560 has 80 divisors (see below), whose sum is σ = 122170752. Its totient is φ = 13132800.

The previous prime is 42140543. The next prime is 42140561. The reversal of 42140560 is 6504124.

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

It is a super-2 number, since 2×421405602 = 3551653594227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42140561) 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, 2740 + ... + 9580.

Almost surely, 242140560 is an apocalyptic number.

42140560 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 42140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61085376).

42140560 is an abundant number, since it is smaller than the sum of its proper divisors (80030192).

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

42140560 is a wasteful number, since it uses less digits than its factorization.

42140560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42140560 is about 6491.5760798130. The cubic root of 42140560 is about 347.9900027956.

Adding to 42140560 its reverse (6504124), we get a palindrome (48644684).

The spelling of 42140560 in words is "forty-two million, one hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 6841 13682 27364 34205 47887 54728 68410 75251 95774 109456 136820 150502 191548 239435 273640 301004 376255 383096 478870 526757 547280 602008 752510 766192 957740 1053514 1204016 1505020 1915480 2107028 2633785 3010040 3830960 4214056 5267570 6020080 8428112 10535140 21070280 42140560