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142102672 = 2419617997
BaseRepresentation
bin10000111100001…
…01000010010000
3100220101120012221
420132011002100
5242334241142
622033430424
73343565335
oct1036050220
9326346187
10142102672
1173238928
123b70b414
132359542a
1414c3098c
15c71e767
hex8785090

142102672 has 80 divisors (see below), whose sum is σ = 301369600. Its totient is φ = 64696320.

The previous prime is 142102669. The next prime is 142102673. The reversal of 142102672 is 276201241.

142102672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142102673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464928 + ... + 1465024.

It is an arithmetic number, because the mean of its divisors is an integer number (3767120).

Almost surely, 2142102672 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 142102672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150684800).

142102672 is an abundant number, since it is smaller than the sum of its proper divisors (159266928).

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

142102672 is a wasteful number, since it uses less digits than its factorization.

142102672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 142102672 is about 11920.6825307950. The cubic root of 142102672 is about 521.8360538759.

The spelling of 142102672 in words is "one hundred forty-two million, one hundred two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 61 76 79 97 122 152 158 194 244 304 316 388 488 632 776 976 1159 1264 1501 1552 1843 2318 3002 3686 4636 4819 5917 6004 7372 7663 9272 9638 11834 12008 14744 15326 18544 19276 23668 24016 29488 30652 38552 47336 61304 77104 91561 94672 112423 122608 145597 183122 224846 291194 366244 449692 467443 582388 732488 899384 934886 1164776 1464976 1798768 1869772 2329552 3739544 7479088 8881417 17762834 35525668 71051336 142102672