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142425200 = 245223113137
BaseRepresentation
bin10000111110100…
…11110001110000
3100220222221122102
420133103301300
5242430101300
622044355532
73346410551
oct1037236160
9326887572
10142425200
1173439185
123b845ba8
1323679188
1414cb6328
15c7850d5
hex87d3c70

142425200 has 120 divisors (see below), whose sum is σ = 362842848. Its totient is φ = 53616640.

The previous prime is 142425169. The next prime is 142425203. The reversal of 142425200 is 2524241.

It is a happy number.

142425200 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142425203) 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, 1039532 + ... + 1039668.

Almost surely, 2142425200 is an apocalyptic number.

142425200 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 142425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181421424).

142425200 is an abundant number, since it is smaller than the sum of its proper divisors (220417648).

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

142425200 is a wasteful number, since it uses less digits than its factorization.

142425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 142425200 is about 11934.2029478302. The cubic root of 142425200 is about 522.2305563447.

Adding to 142425200 its reverse (2524241), we get a palindrome (144949441).

The spelling of 142425200 in words is "one hundred forty-two million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 113 115 137 184 200 226 230 274 368 400 452 460 548 565 575 685 904 920 1096 1130 1150 1370 1808 1840 2192 2260 2300 2599 2740 2825 3151 3425 4520 4600 5198 5480 5650 6302 6850 9040 9200 10396 10960 11300 12604 12995 13700 15481 15755 20792 22600 25208 25990 27400 30962 31510 41584 45200 50416 51980 54800 61924 63020 64975 77405 78775 103960 123848 126040 129950 154810 157550 207920 247696 252080 259900 309620 315100 356063 387025 519800 619240 630200 712126 774050 1039600 1238480 1260400 1424252 1548100 1780315 2848504 3096200 3560630 5697008 6192400 7121260 8901575 14242520 17803150 28485040 35606300 71212600 142425200