Search a number
-
+
37143084 = 223112931313
BaseRepresentation
bin1000110110110…
…0001000101100
32120220001201210
42031230020230
534002034314
63404034420
7630465606
oct215541054
976801653
1037143084
1119a6a170
1210532a10
137906374
144d0c176
1533da559
hex236c22c

37143084 has 96 divisors (see below), whose sum is σ = 101283840. Its totient is φ = 10483200.

The previous prime is 37143077. The next prime is 37143107. The reversal of 37143084 is 48034173.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 118512 + ... + 118824.

It is an arithmetic number, because the mean of its divisors is an integer number (1055040).

Almost surely, 237143084 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 37143084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50641920).

37143084 is an abundant number, since it is smaller than the sum of its proper divisors (64140756).

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

37143084 is a wasteful number, since it uses less digits than its factorization.

37143084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 37143084 is about 6094.5126138191. The cubic root of 37143084 is about 333.6511710634.

The spelling of 37143084 in words is "thirty-seven million, one hundred forty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 29 31 33 44 58 62 66 87 93 116 124 132 174 186 313 319 341 348 372 626 638 682 899 939 957 1023 1252 1276 1364 1798 1878 1914 2046 2697 3443 3596 3756 3828 4092 5394 6886 9077 9703 9889 10329 10788 13772 18154 19406 19778 20658 27231 29109 29667 36308 38812 39556 41316 54462 58218 59334 99847 106733 108924 116436 118668 199694 213466 281387 299541 320199 399388 426932 562774 599082 640398 844161 1125548 1198164 1280796 1688322 3095257 3376644 6190514 9285771 12381028 18571542 37143084