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142054100 = 22523738393
BaseRepresentation
bin10000111011110…
…01001011010100
3100220022002120222
420131321023110
5242331212400
622032413512
73343303616
oct1035711324
9326262528
10142054100
1173205391
123b6a7298
13235792a6
1414c1adb6
15c710185
hex87792d4

142054100 has 36 divisors (see below), whose sum is σ = 316596924. Its totient is φ = 55284480.

The previous prime is 142054079. The next prime is 142054109. The reversal of 142054100 is 1450241.

142054100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15376 + 142038724 = 124^2 + 11918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142054109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15497 + ... + 22896.

It is an arithmetic number, because the mean of its divisors is an integer number (8794359).

Almost surely, 2142054100 is an apocalyptic number.

142054100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142054100 is an abundant number, since it is smaller than the sum of its proper divisors (174542824).

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

142054100 is a wasteful number, since it uses less digits than its factorization.

142054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38444 (or 38437 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 142054100 is about 11918.6450572202. The cubic root of 142054100 is about 521.7765909798.

Subtracting from 142054100 its product of nonzero digits (160), we obtain a triangular number (142053940 = T16855).

The spelling of 142054100 in words is "one hundred forty-two million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 38393 76786 153572 191965 383930 767860 959825 1420541 1919650 2841082 3839300 5682164 7102705 14205410 28410820 35513525 71027050 142054100