Search a number
-
+
142061892 = 2237233139
BaseRepresentation
bin10000111011110…
…11000101000100
3100220022111021120
420131323011010
5242331440032
622032513540
73343335420
oct1035730504
9326274246
10142061892
1173210225
123b6ab8b0
132357c9bb
1414c1db80
15c71262c
hex877b144

142061892 has 96 divisors (see below), whose sum is σ = 398899200. Its totient is φ = 38545056.

The previous prime is 142061873. The next prime is 142061903. The reversal of 142061892 is 298160241.

142061892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021959 + ... + 1022097.

It is an arithmetic number, because the mean of its divisors is an integer number (4155200).

Almost surely, 2142061892 is an apocalyptic number.

142061892 is a gapful number since it is divisible by the number (12) 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 142061892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199449600).

142061892 is an abundant number, since it is smaller than the sum of its proper divisors (256837308).

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

142061892 is a wasteful number, since it uses less digits than its factorization.

142061892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 142061892 is about 11918.9719355320. The cubic root of 142061892 is about 521.7861310279.

The spelling of 142061892 in words is "one hundred forty-two million, sixty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 139 161 276 278 322 417 483 529 556 644 834 966 973 1058 1587 1668 1932 1946 2116 2919 3174 3197 3703 3892 5838 6348 6394 7406 9591 11109 11676 12167 12788 14812 19182 22218 22379 24334 36501 38364 44436 44758 48668 67137 73002 73531 85169 89516 134274 146004 147062 170338 220593 255507 268548 294124 340676 441186 511014 514717 882372 1022028 1029434 1544151 1691213 2058868 3088302 3382426 5073639 6176604 6764852 10147278 11838491 20294556 23676982 35515473 47353964 71030946 142061892