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142069824 = 26321318973
BaseRepresentation
bin10000111011111…
…01000001000000
3100220022220011100
420131331001000
5242332213244
622033014400
73343400511
oct1035750100
9326286140
10142069824
1173216186
123b6b4400
13235834b0
1414c22a08
15c714b69
hex877d040

142069824 has 84 divisors (see below), whose sum is σ = 438565036. Its totient is φ = 43711488.

The previous prime is 142069787. The next prime is 142069843. The reversal of 142069824 is 428960241.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 107495424 = 5880^2 + 10368^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1999 + ... + 16974.

Almost surely, 2142069824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219282518).

142069824 is an abundant number, since it is smaller than the sum of its proper divisors (296495212).

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

142069824 is a wasteful number, since it uses less digits than its factorization.

142069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19004 (or 18991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 142069824 is about 11919.3046777067. The cubic root of 142069824 is about 521.7958421252.

The spelling of 142069824 in words is "one hundred forty-two million, sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 18973 37946 56919 75892 113838 151784 170757 227676 246649 303568 341514 455352 493298 607136 683028 739947 910704 986596 1214272 1366056 1479894 1821408 1973192 2219841 2732112 2959788 3642816 3946384 4439682 5464224 5919576 7892768 8879364 10928448 11839152 15785536 17758728 23678304 35517456 47356608 71034912 142069824