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142640000 = 27541783
BaseRepresentation
bin10001000000010…
…00001110000000
3100221101212021222
420200020032000
5243003440000
622053134212
73351264026
oct1040101600
9327355258
10142640000
11735755a8
123b92a368
1323722b89
1414d30716
15c7c8a85
hex8808380

142640000 has 80 divisors (see below), whose sum is σ = 355292520. Its totient is φ = 57024000.

The previous prime is 142639969. The next prime is 142640027. The reversal of 142640000 is 46241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79109 + ... + 80891.

Almost surely, 2142640000 is an apocalyptic number.

142640000 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 142640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177646260).

142640000 is an abundant number, since it is smaller than the sum of its proper divisors (212652520).

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

142640000 is an frugal number, since it uses more digits than its factorization.

142640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 142640000 is about 11943.1989014669. The cubic root of 142640000 is about 522.4929602312.

Adding to 142640000 its reverse (46241), we get a palindrome (142686241).

The spelling of 142640000 in words is "one hundred forty-two million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1783 2000 2500 3200 3566 4000 5000 7132 8000 8915 10000 14264 16000 17830 20000 28528 35660 40000 44575 57056 71320 80000 89150 114112 142640 178300 222875 228224 285280 356600 445750 570560 713200 891500 1114375 1141120 1426400 1783000 2228750 2852800 3566000 4457500 5705600 7132000 8915000 14264000 17830000 28528000 35660000 71320000 142640000