Search a number
-
+
142094208 = 2733773137
BaseRepresentation
bin10000111100000…
…10111110000000
3100220101010121110
420132002332000
5242334003313
622033323320
73343531554
oct1036027600
9326333543
10142094208
1173232533
123b706540
1323591619
1414c2b864
15c71bec3
hex8782f80

142094208 has 128 divisors (see below), whose sum is σ = 395817120. Its totient is φ = 45121536.

The previous prime is 142094201. The next prime is 142094209. The reversal of 142094208 is 802490241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142094201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037116 + ... + 1037252.

Almost surely, 2142094208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197908560).

142094208 is an abundant number, since it is smaller than the sum of its proper divisors (253722912).

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

142094208 is a wasteful number, since it uses less digits than its factorization.

142094208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 142094208 is about 11920.3275122792. The cubic root of 142094208 is about 521.8256930384.

The spelling of 142094208 in words is "one hundred forty-two million, ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 111 128 137 146 148 192 219 222 274 292 296 384 411 438 444 548 584 592 822 876 888 1096 1168 1184 1644 1752 1776 2192 2336 2368 2701 3288 3504 3552 4384 4672 4736 5069 5402 6576 7008 7104 8103 8768 9344 10001 10138 10804 13152 14016 14208 15207 16206 17536 20002 20276 21608 26304 28032 30003 30414 32412 40004 40552 43216 52608 60006 60828 64824 80008 81104 86432 120012 121656 129648 160016 162208 172864 240024 243312 259296 320032 324416 345728 370037 480048 486624 518592 640064 648832 740074 960096 973248 1037184 1110111 1280128 1480148 1920192 1946496 2220222 2960296 3840384 4440444 5920592 8880888 11841184 17761776 23682368 35523552 47364736 71047104 142094208