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142083936 = 2533164449
BaseRepresentation
bin10000111100000…
…00011101100000
3100220100121112000
420132000131200
5242333141221
622033204000
73343456611
oct1036003540
9326317460
10142083936
1173225845
123b700600
1323589a47
1414c27c08
15c718e26
hex8780760

142083936 has 48 divisors (see below), whose sum is σ = 414414000. Its totient is φ = 47361024.

The previous prime is 142083923. The next prime is 142083967. The reversal of 142083936 is 639380241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142083936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81361 + ... + 83088.

It is an arithmetic number, because the mean of its divisors is an integer number (8633625).

Almost surely, 2142083936 is an apocalyptic number.

142083936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142083936 is an abundant number, since it is smaller than the sum of its proper divisors (272330064).

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

142083936 is a wasteful number, since it uses less digits than its factorization.

142083936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164468 (or 164454 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 142083936 is about 11919.8966438472. The cubic root of 142083936 is about 521.8131184638.

The spelling of 142083936 in words is "one hundred forty-two million, eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 164449 328898 493347 657796 986694 1315592 1480041 1973388 2631184 2960082 3946776 4440123 5262368 5920164 7893552 8880246 11840328 15787104 17760492 23680656 35520984 47361312 71041968 142083936