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142443200 = 2652127701
BaseRepresentation
bin10000111110110…
…00001011000000
3100221000212100002
420133120023000
5242431140300
622045015132
73346514204
oct1037301300
9327025302
10142443200
1173450759
123b8544a8
1323684423
1414cbcb04
15c78a5d5
hex87d82c0

142443200 has 84 divisors (see below), whose sum is σ = 353763072. Its totient is φ = 56448000.

The previous prime is 142443179. The next prime is 142443211. The reversal of 142443200 is 2344241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 202850 + ... + 203550.

Almost surely, 2142443200 is an apocalyptic number.

142443200 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 142443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).

142443200 is an abundant number, since it is smaller than the sum of its proper divisors (211319872).

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

142443200 is a wasteful number, since it uses less digits than its factorization.

142443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 142443200 is about 11934.9570589927. The cubic root of 142443200 is about 522.2525556211.

Adding to 142443200 its reverse (2344241), we get a palindrome (144787441).

The spelling of 142443200 in words is "one hundred forty-two million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 160 200 254 320 400 508 635 701 800 1016 1270 1402 1600 2032 2540 2804 3175 3505 4064 5080 5608 6350 7010 8128 10160 11216 12700 14020 17525 20320 22432 25400 28040 35050 40640 44864 50800 56080 70100 89027 101600 112160 140200 178054 203200 224320 280400 356108 445135 560800 712216 890270 1121600 1424432 1780540 2225675 2848864 3561080 4451350 5697728 7122160 8902700 14244320 17805400 28488640 35610800 71221600 142443200