Search a number
-
+
142912572 = 223111397789
BaseRepresentation
bin10001000010010…
…10110000111100
3100221220201012020
420201022300330
5243041200242
622103040140
73353510505
oct1041126074
9327821166
10142912572
1173741370
123ba40050
13237b9c6a
1414da1bac
15c82e6ec
hex884ac3c

142912572 has 48 divisors (see below), whose sum is σ = 366441600. Its totient is φ = 42989760.

The previous prime is 142912559. The next prime is 142912577. The reversal of 142912572 is 275219241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142912577) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14454 + ... + 22242.

It is an arithmetic number, because the mean of its divisors is an integer number (7634200).

Almost surely, 2142912572 is an apocalyptic number.

142912572 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 142912572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183220800).

142912572 is an abundant number, since it is smaller than the sum of its proper divisors (223529028).

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

142912572 is a wasteful number, since it uses less digits than its factorization.

142912572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7944 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 142912572 is about 11954.6046358715. The cubic root of 142912572 is about 522.8255605585.

The spelling of 142912572 in words is "one hundred forty-two million, nine hundred twelve thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 4587 6116 7789 9174 15578 18348 23367 31156 46734 85679 93468 171358 257037 342716 514074 1028148 1082671 2165342 3248013 4330684 6496026 11909381 12992052 23818762 35728143 47637524 71456286 142912572