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42324120 = 2334513063
BaseRepresentation
bin1010000101110…
…1000010011000
32221122021210000
42201131002120
541313332440
64111053000
71022514636
oct241350230
987567700
1042324120
1121988813
1212211160
1389cb677
14589a356
153ab0730
hex285d098

42324120 has 80 divisors (see below), whose sum is σ = 142266960. Its totient is φ = 11285568.

The previous prime is 42324097. The next prime is 42324127. The reversal of 42324120 is 2142324.

42324120 is a `hidden beast` number, since 423 + 241 + 2 + 0 = 666.

It is a super-2 number, since 2×423241202 = 3582662267548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42324093 and 42324102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3292 + ... + 9771.

It is an arithmetic number, because the mean of its divisors is an integer number (1778337).

Almost surely, 242324120 is an apocalyptic number.

42324120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42324120 is an abundant number, since it is smaller than the sum of its proper divisors (99942840).

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

42324120 is a wasteful number, since it uses less digits than its factorization.

42324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13086 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42324120 is about 6505.6990400725. The cubic root of 42324120 is about 348.4945406359.

Adding to 42324120 its reverse (2142324), we get a palindrome (44466444).

The spelling of 42324120 in words is "forty-two million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13063 26126 39189 52252 65315 78378 104504 117567 130630 156756 195945 235134 261260 313512 352701 391890 470268 522520 587835 705402 783780 940536 1058103 1175670 1410804 1567560 1763505 2116206 2351340 2821608 3527010 4232412 4702680 5290515 7054020 8464824 10581030 14108040 21162060 42324120