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142004200 = 23521354617
BaseRepresentation
bin10000111011011…
…00111111101000
3100220012120010211
420131230333220
5242323113300
622031350504
73343005262
oct1035547750
9326176124
10142004200
1173180948
123b682434
132355c670
1414c06b32
15c7004ba
hex876cfe8

142004200 has 48 divisors (see below), whose sum is σ = 355563180. Its totient is φ = 52431360.

The previous prime is 142004173. The next prime is 142004237. The reversal of 142004200 is 2400241.

It can be written as a sum of positive squares in 6 ways, for example, as 33802596 + 108201604 = 5814^2 + 10402^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24709 + ... + 29908.

Almost surely, 2142004200 is an apocalyptic number.

142004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142004200 is an abundant number, since it is smaller than the sum of its proper divisors (213558980).

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

142004200 is a wasteful number, since it uses less digits than its factorization.

142004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54646 (or 54637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 142004200 is about 11916.5515145952. The cubic root of 142004200 is about 521.7154882000.

Adding to 142004200 its reverse (2400241), we get a palindrome (144404441).

The spelling of 142004200 in words is "one hundred forty-two million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 54617 109234 218468 273085 436936 546170 710021 1092340 1365425 1420042 2184680 2730850 2840084 3550105 5461700 5680168 7100210 10923400 14200420 17750525 28400840 35501050 71002100 142004200