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142203420 = 223254911609
BaseRepresentation
bin10000111100111…
…01101000011100
3100220120200102100
420132131220130
5242401002140
622035525100
73344465142
oct1036355034
9326520370
10142203420
11732a7597
123b759790
13235cc248
1414c59592
15c73e530
hex879da1c

142203420 has 72 divisors (see below), whose sum is σ = 432497520. Its totient is φ = 37820160.

The previous prime is 142203409. The next prime is 142203427. The reversal of 142203420 is 24302241.

142203420 is a `hidden beast` number, since 1 + 42 + 203 + 420 = 666.

142203420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 142203393 and 142203402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142203427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87576 + ... + 89184.

It is an arithmetic number, because the mean of its divisors is an integer number (6006910).

Almost surely, 2142203420 is an apocalyptic number.

142203420 is a gapful number since it is divisible by the number (10) 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 142203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216248760).

142203420 is an abundant number, since it is smaller than the sum of its proper divisors (290294100).

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

142203420 is a wasteful number, since it uses less digits than its factorization.

142203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2110 counting only the distinct ones).

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

The square root of 142203420 is about 11924.9075468114. The cubic root of 142203420 is about 521.9593485761.

Adding to 142203420 its reverse (24302241), we get a palindrome (166505661).

The spelling of 142203420 in words is "one hundred forty-two million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 491 982 1473 1609 1964 2455 2946 3218 4419 4827 4910 5892 6436 7365 8045 8838 9654 9820 14481 14730 16090 17676 19308 22095 24135 28962 29460 32180 44190 48270 57924 72405 88380 96540 144810 289620 790019 1580038 2370057 3160076 3950095 4740114 7110171 7900190 9480228 11850285 14220342 15800380 23700570 28440684 35550855 47401140 71101710 142203420