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142065200 = 24522937331
BaseRepresentation
bin10000111011110…
…11111000110000
3100220022122211002
420131323320300
5242332041300
622032541132
73343351154
oct1035737060
9326278732
10142065200
1173212762
123b6b17a8
1323581364
1414c21064
15c7135d5
hex877be30

142065200 has 120 divisors (see below), whose sum is σ = 363719280. Its totient is φ = 53222400.

The previous prime is 142065197. The next prime is 142065211. The reversal of 142065200 is 2560241.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429035 + ... + 429365.

It is an arithmetic number, because the mean of its divisors is an integer number (3030994).

Almost surely, 2142065200 is an apocalyptic number.

142065200 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 142065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181859640).

142065200 is an abundant number, since it is smaller than the sum of its proper divisors (221654080).

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

142065200 is a wasteful number, since it uses less digits than its factorization.

142065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 142065200 is about 11919.1107050820. The cubic root of 142065200 is about 521.7901810353.

The spelling of 142065200 in words is "one hundred forty-two million, sixty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 37 40 50 58 74 80 100 116 145 148 185 200 232 290 296 331 370 400 464 580 592 662 725 740 925 1073 1160 1324 1450 1480 1655 1850 2146 2320 2648 2900 2960 3310 3700 4292 5296 5365 5800 6620 7400 8275 8584 9599 10730 11600 12247 13240 14800 16550 17168 19198 21460 24494 26480 26825 33100 38396 42920 47995 48988 53650 61235 66200 76792 85840 95990 97976 107300 122470 132400 153584 191980 195952 214600 239975 244940 306175 355163 383960 429200 479950 489880 612350 710326 767920 959900 979760 1224700 1420652 1775815 1919800 2449400 2841304 3551630 3839600 4898800 5682608 7103260 8879075 14206520 17758150 28413040 35516300 71032600 142065200