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42112020 = 22352572731
BaseRepresentation
bin1010000010100…
…1010000010100
32221020111211110
42200221100110
541240041040
64102335020
71020642366
oct240512024
987214743
1042112020
1121853425
121212a470
138955c72
145842d36
153a6c980
hex2829414

42112020 has 48 divisors (see below), whose sum is σ = 118415808. Its totient is φ = 11182080.

The previous prime is 42112001. The next prime is 42112061. The reversal of 42112020 is 2021124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42111987 and 42112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14055 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (2466996).

Almost surely, 242112020 is an apocalyptic number.

It is an amenable number.

42112020 is an abundant number, since it is smaller than the sum of its proper divisors (76303788).

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

42112020 is a wasteful number, since it uses less digits than its factorization.

42112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42112020 is about 6489.3774739955. The cubic root of 42112020 is about 347.9114254691.

Adding to 42112020 its reverse (2021124), we get a palindrome (44133144).

The spelling of 42112020 in words is "forty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 771 1028 1285 1542 2570 2731 3084 3855 5140 5462 7710 8193 10924 13655 15420 16386 27310 32772 40965 54620 81930 163860 701867 1403734 2105601 2807468 3509335 4211202 7018670 8422404 10528005 14037340 21056010 42112020