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142522416 = 24374073
BaseRepresentation
bin10000111111010…
…11100000110000
3100221011220000000
420133223200300
5242441204131
622050430000
73350264151
oct1037534060
9327156000
10142522416
11734a5223
123b892300
13236b14ba
1414cdd928
15c7a3ce6
hex87eb830

142522416 has 80 divisors (see below), whose sum is σ = 414244320. Its totient is φ = 47495808.

The previous prime is 142522379. The next prime is 142522427. The reversal of 142522416 is 614225241.

142522416 is a `hidden beast` number, since 1 + 425 + 224 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 142522416.

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 15 ways as a sum of consecutive naturals, for example, 32956 + ... + 37028.

It is an arithmetic number, because the mean of its divisors is an integer number (5178054).

Almost surely, 2142522416 is an apocalyptic number.

142522416 is a gapful number since it is divisible by the number (16) 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 142522416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207122160).

142522416 is an abundant number, since it is smaller than the sum of its proper divisors (271721904).

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

142522416 is an frugal number, since it uses more digits than its factorization.

142522416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4078 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 142522416 is about 11938.2752523135. The cubic root of 142522416 is about 522.3493499732.

Adding to 142522416 its reverse (614225241), we get a palindrome (756747657).

The spelling of 142522416 in words is "one hundred forty-two million, five hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4073 4374 5832 8146 8748 11664 12219 16292 17496 24438 32584 34992 36657 48876 65168 73314 97752 109971 146628 195504 219942 293256 329913 439884 586512 659826 879768 989739 1319652 1759536 1979478 2639304 2969217 3958956 5278608 5938434 7917912 8907651 11876868 15835824 17815302 23753736 35630604 47507472 71261208 142522416