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142490712 = 233713531231
BaseRepresentation
bin10000111111000…
…11110001011000
3100221010021111210
420133203301120
5242434200322
622050023120
73350102550
oct1037436130
9327107453
10142490712
1173483421
123b877aa0
132369cc40
1414cd2160
15c79970c
hex87e3c58

142490712 has 128 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 36840960.

The previous prime is 142490683. The next prime is 142490713. The reversal of 142490712 is 217094241.

142490712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142490712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142490713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115137 + ... + 116367.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2142490712 is an apocalyptic number.

142490712 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 142490712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

142490712 is an abundant number, since it is smaller than the sum of its proper divisors (304577448).

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

142490712 is a wasteful number, since it uses less digits than its factorization.

142490712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 142490712 is about 11936.9473484639. The cubic root of 142490712 is about 522.3106150327.

The spelling of 142490712 in words is "one hundred forty-two million, four hundred ninety thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 53 56 78 84 91 104 106 156 159 168 182 212 273 312 318 364 371 424 546 636 689 728 742 1092 1113 1231 1272 1378 1484 2067 2184 2226 2462 2756 2968 3693 4134 4452 4823 4924 5512 7386 8268 8617 8904 9646 9848 14469 14772 16003 16536 17234 19292 25851 28938 29544 32006 34468 38584 48009 51702 57876 64012 65243 68936 96018 103404 112021 115752 128024 130486 192036 195729 206808 224042 260972 336063 384072 391458 448084 456701 521944 672126 782916 848159 896168 913402 1344252 1370103 1565832 1696318 1826804 2544477 2688504 2740206 3392636 3653608 5088954 5480412 5937113 6785272 10177908 10960824 11874226 17811339 20355816 23748452 35622678 47496904 71245356 142490712