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142703946 = 232711195419
BaseRepresentation
bin10001000000101…
…11110101001010
3100221112010000100
420200113311022
5243013011241
622054350230
73351651330
oct1040276512
9327463010
10142703946
1173609650
123b95b376
1323746008
1414d49b50
15c7dc9b6
hex8817d4a

142703946 has 96 divisors (see below), whose sum is σ = 405849600. Its totient is φ = 35108640.

The previous prime is 142703923. The next prime is 142703947. The reversal of 142703946 is 649307241.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 142703946.

It is not an unprimeable number, because it can be changed into a prime (142703947) 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, 23625 + ... + 29043.

It is an arithmetic number, because the mean of its divisors is an integer number (4227600).

Almost surely, 2142703946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142703946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202924800).

142703946 is an abundant number, since it is smaller than the sum of its proper divisors (263145654).

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

142703946 is a wasteful number, since it uses less digits than its factorization.

142703946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 142703946 is about 11945.8756899609. The cubic root of 142703946 is about 522.5710270270.

The spelling of 142703946 in words is "one hundred forty-two million, seven hundred three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 5419 8778 10838 13167 16257 26334 32514 37933 48771 59609 75866 97542 102961 113799 119218 178827 205922 227598 308883 341397 357654 417263 536481 617766 682794 720727 834526 926649 1072962 1132571 1251789 1441454 1853298 2162181 2265142 2503578 3397713 3755367 4324362 6486543 6795426 7510734 7927997 10193139 12973086 15855994 20386278 23783991 47567982 71351973 142703946