Search a number
-
+
142090416 = 24331325301
BaseRepresentation
bin10000111100000…
…10000010110000
3100220100221102000
420132002002300
5242333343131
622033254000
73343514526
oct1036020260
9326327360
10142090416
117322a6a6
123b704300
132358c990
1414c2a316
15c71ace6
hex87820b0

142090416 has 80 divisors (see below), whose sum is σ = 439242720. Its totient is φ = 43718400.

The previous prime is 142090409. The next prime is 142090433. The reversal of 142090416 is 614090241.

It is a super-3 number, since 3×1420904163 (a number of 25 digits) contains 333 as substring.

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 142090416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7035 + ... + 18266.

It is an arithmetic number, because the mean of its divisors is an integer number (5490534).

Almost surely, 2142090416 is an apocalyptic number.

142090416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142090416 is an abundant number, since it is smaller than the sum of its proper divisors (297152304).

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

142090416 is a wasteful number, since it uses less digits than its factorization.

142090416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25331 (or 25319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 142090416 is about 11920.1684551855. The cubic root of 142090416 is about 521.8210510931.

The spelling of 142090416 in words is "one hundred forty-two million, ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 25301 50602 75903 101204 151806 202408 227709 303612 328913 404816 455418 607224 657826 683127 910836 986739 1214448 1315652 1366254 1821672 1973478 2631304 2732508 2960217 3643344 3946956 5262608 5465016 5920434 7893912 8880651 10930032 11840868 15787824 17761302 23681736 35522604 47363472 71045208 142090416