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42120240 = 2435223787
BaseRepresentation
bin1010000010101…
…1010000110000
32221020221002220
42200223100300
541240321430
64102441040
71021005351
oct240532060
987227086
1042120240
1121859618
1212133180
138959926
145845d28
153a70110
hex282b430

42120240 has 80 divisors (see below), whose sum is σ = 131324928. Its totient is φ = 11167488.

The previous prime is 42120233. The next prime is 42120251. The reversal of 42120240 is 4202124.

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

It is a super-2 number, since 2×421202402 = 3548229235315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 53127 + ... + 53913.

Almost surely, 242120240 is an apocalyptic number.

42120240 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 42120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65662464).

42120240 is an abundant number, since it is smaller than the sum of its proper divisors (89204688).

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

42120240 is a wasteful number, since it uses less digits than its factorization.

42120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42120240 is about 6490.0107858154. The cubic root of 42120240 is about 347.9340606998.

Adding to 42120240 its reverse (4202124), we get a palindrome (46322364).

The spelling of 42120240 in words is "forty-two million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 787 892 1115 1338 1574 1784 2230 2361 2676 3148 3345 3568 3935 4460 4722 5352 6296 6690 7870 8920 9444 10704 11805 12592 13380 15740 17840 18888 23610 26760 31480 37776 47220 53520 62960 94440 175501 188880 351002 526503 702004 877505 1053006 1404008 1755010 2106012 2632515 2808016 3510020 4212024 5265030 7020040 8424048 10530060 14040080 21060120 42120240