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42000140 = 22571347491
BaseRepresentation
bin1010000000110…
…1111100001100
32221000211100202
42200031330030
541223001030
64100113032
71016665250
oct240157414
987024322
1042000140
1121787366
1212095778
138917070
145814260
153a49745
hex280df0c

42000140 has 96 divisors (see below), whose sum is σ = 111089664. Its totient is φ = 12983040.

The previous prime is 42000137. The next prime is 42000191. The reversal of 42000140 is 4100024.

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, 85295 + ... + 85785.

It is an arithmetic number, because the mean of its divisors is an integer number (1157184).

Almost surely, 242000140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55544832).

42000140 is an abundant number, since it is smaller than the sum of its proper divisors (69089524).

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

42000140 is a wasteful number, since it uses less digits than its factorization.

42000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42000140 is about 6480.7514996334. The cubic root of 42000140 is about 347.6030507134.

Adding to 42000140 its reverse (4100024), we get a palindrome (46100164).

The spelling of 42000140 in words is "forty-two million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 182 188 235 260 329 364 455 470 491 611 658 910 940 982 1222 1316 1645 1820 1964 2444 2455 3055 3290 3437 4277 4910 6110 6383 6580 6874 8554 9820 12220 12766 13748 17108 17185 21385 23077 25532 31915 34370 42770 44681 46154 63830 68740 85540 89362 92308 115385 127660 161539 178724 223405 230770 300001 323078 446810 461540 600002 646156 807695 893620 1200004 1500005 1615390 2100007 3000010 3230780 4200014 6000020 8400028 10500035 21000070 42000140