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142414020 = 223257113027
BaseRepresentation
bin10000111110100…
…01000011000100
3100220222101022100
420133101003010
5242424222040
622044232100
73346333140
oct1037210304
9326871270
10142414020
1173430841
123b83b630
1323674068
1414cb2220
15c781b30
hex87d10c4

142414020 has 72 divisors (see below), whose sum is σ = 493706304. Its totient is φ = 32551488.

The previous prime is 142414007. The next prime is 142414039. The reversal of 142414020 is 20414241.

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 = 142413984 and 142414002.

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 23 ways as a sum of consecutive naturals, for example, 55254 + ... + 57773.

It is an arithmetic number, because the mean of its divisors is an integer number (6857032).

Almost surely, 2142414020 is an apocalyptic number.

142414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142414020 is an abundant number, since it is smaller than the sum of its proper divisors (351292284).

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

142414020 is a wasteful number, since it uses less digits than its factorization.

142414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113049 (or 113044 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142414020 is about 11933.7345370173. The cubic root of 142414020 is about 522.2168914165.

Adding to 142414020 its reverse (20414241), we get a palindrome (162828261).

The spelling of 142414020 in words is "one hundred forty-two million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 113027 226054 339081 452108 565135 678162 791189 1017243 1130270 1356324 1582378 1695405 2034486 2260540 2373567 3164756 3390810 3955945 4068972 4747134 5086215 6781620 7120701 7911890 9494268 10172430 11867835 14241402 15823780 20344860 23735670 28482804 35603505 47471340 71207010 142414020