Search a number
-
+
142963506 = 232717312153
BaseRepresentation
bin10001000010101…
…11001100110010
3100222000022001200
420201113030302
5243044313011
622104112030
73354112140
oct1041271462
9328008050
10142963506
1173776664
123ba65616
13238071ba
1414db6590
15c83e856
hex8857332

142963506 has 96 divisors (see below), whose sum is σ = 387099648. Its totient is φ = 37186560.

The previous prime is 142963501. The next prime is 142963507. The reversal of 142963506 is 605369241.

It is a happy number.

142963506 is a `hidden beast` number, since 14 + 2 + 9 + 635 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142963501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65326 + ... + 67478.

It is an arithmetic number, because the mean of its divisors is an integer number (4032288).

Almost surely, 2142963506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142963506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193549824).

142963506 is an abundant number, since it is smaller than the sum of its proper divisors (244136142).

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

142963506 is a wasteful number, since it uses less digits than its factorization.

142963506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 142963506 is about 11956.7347549404. The cubic root of 142963506 is about 522.8876648081.

The spelling of 142963506 in words is "one hundred forty-two million, nine hundred sixty-three thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 2153 3162 3689 3906 4306 4743 6459 7378 9486 11067 12918 15071 19377 22134 30142 33201 36601 38754 45213 66402 66743 73202 90426 109803 133486 135639 200229 219606 256207 271278 329409 400458 467201 512414 600687 658818 768621 934402 1134631 1201374 1401603 1537242 2269262 2305863 2803206 3403893 4204809 4611726 6807786 7942417 8409618 10211679 15884834 20423358 23827251 47654502 71481753 142963506