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42150420 = 223251318013
BaseRepresentation
bin1010000011001…
…0101000010100
32221022110111200
42200302220110
541242303140
64103232500
71021162344
oct240625024
987273450
1042150420
112187a264
1212148730
13896a5a0
145852d24
153a79030
hex2832a14

42150420 has 72 divisors (see below), whose sum is σ = 137699016. Its totient is φ = 10374912.

The previous prime is 42150413. The next prime is 42150439. The reversal of 42150420 is 2405124.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 36216324 = 2436^2 + 6018^2 .

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 = 42150393 and 42150402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6667 + ... + 11346.

Almost surely, 242150420 is an apocalyptic number.

It is an amenable number.

42150420 is an abundant number, since it is smaller than the sum of its proper divisors (95548596).

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

42150420 is a wasteful number, since it uses less digits than its factorization.

42150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18041 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42150420 is about 6492.3354811655. The cubic root of 42150420 is about 348.0171414466.

Adding to 42150420 its reverse (2405124), we get a palindrome (44555544).

The spelling of 42150420 in words is "forty-two million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 18013 36026 54039 72052 90065 108078 162117 180130 216156 234169 270195 324234 360260 468338 540390 648468 702507 810585 936676 1080780 1170845 1405014 1621170 2107521 2341690 2810028 3242340 3512535 4215042 4683380 7025070 8430084 10537605 14050140 21075210 42150420