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142685900 = 225271031979
BaseRepresentation
bin10001000000100…
…11011011001100
3100221111012020222
420200103123030
5243011422100
622054130512
73351544610
oct1040233314
9327435228
10142685900
11735a7035
123b950a38
132373aa36
1414d43340
15c7d7485
hex88136cc

142685900 has 72 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 48421440.

The previous prime is 142685869. The next prime is 142685903. The reversal of 142685900 is 9586241.

It is a super-3 number, since 3×1426859003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (142685903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71111 + ... + 73089.

It is an arithmetic number, because the mean of its divisors is an integer number (4964960).

Almost surely, 2142685900 is an apocalyptic number.

142685900 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 142685900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

142685900 is an abundant number, since it is smaller than the sum of its proper divisors (214791220).

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

142685900 is a wasteful number, since it uses less digits than its factorization.

142685900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 142685900 is about 11945.1203426336. The cubic root of 142685900 is about 522.5489984040.

The spelling of 142685900 in words is "one hundred forty-two million, six hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 1979 2060 2575 2884 3605 3958 5150 7210 7916 9895 10300 13853 14420 18025 19790 27706 36050 39580 49475 55412 69265 72100 98950 138530 197900 203837 277060 346325 407674 692650 815348 1019185 1385300 1426859 2038370 2853718 4076740 5095925 5707436 7134295 10191850 14268590 20383700 28537180 35671475 71342950 142685900