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142706916 = 22321121812
BaseRepresentation
bin10001000000110…
…00100011100100
3100221112021002100
420200120203210
5243013110131
622054412100
73351663102
oct1040304344
9327467070
10142706916
1173610900
123b961030
1323747481
1414d4ac72
15c7dd7e6
hex88188e4

142706916 has 81 divisors (see below), whose sum is σ = 398709129. Its totient is φ = 43005600.

The previous prime is 142706903. The next prime is 142706917. The reversal of 142706916 is 619607241.

The square root of 142706916 is 11946.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 141134400 = 1254^2 + 11880^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142706917) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 788346 + ... + 788526.

Almost surely, 2142706916 is an apocalyptic number.

142706916 is the 11946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142706916

142706916 is an abundant number, since it is smaller than the sum of its proper divisors (256002213).

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

142706916 is a wasteful number, since it uses less digits than its factorization.

142706916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 142706916 is about 522.5746523067.

Multiplying 142706916 by its sum of digits (36), we get a square (5137448976 = 716762).

142706916 divided by its sum of digits (36) gives a square (3964081 = 19912).

The spelling of 142706916 in words is "one hundred forty-two million, seven hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 181 198 242 362 363 396 484 543 724 726 1086 1089 1452 1629 1991 2172 2178 3258 3982 4356 5973 6516 7964 11946 17919 21901 23892 32761 35838 43802 65522 65703 71676 87604 98283 131044 131406 196566 197109 262812 294849 360371 393132 394218 589698 720742 788436 1081113 1179396 1441484 2162226 3243339 3964081 4324452 6486678 7928162 11892243 12973356 15856324 23784486 35676729 47568972 71353458 142706916