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37090116 = 2233771691
BaseRepresentation
bin1000110101111…
…1001101000100
32120210101002000
42031133031010
533443340431
63402545300
7630155310
oct215371504
976711060
1037090116
1119a33398
1210508230
1378b821b
144cd6b40
1533c99e6
hex235f344

37090116 has 96 divisors (see below), whose sum is σ = 111605760. Its totient is φ = 10432800.

The previous prime is 37090111. The next prime is 37090133. The reversal of 37090116 is 61109073.

37090116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 37090116.

It is not an unprimeable number, because it can be changed into a prime (37090111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53331 + ... + 54021.

It is an arithmetic number, because the mean of its divisors is an integer number (1162560).

Almost surely, 237090116 is an apocalyptic number.

37090116 is a gapful number since it is divisible by the number (36) 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 37090116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55802880).

37090116 is an abundant number, since it is smaller than the sum of its proper divisors (74515644).

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

37090116 is a wasteful number, since it uses less digits than its factorization.

37090116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 37090116 is about 6090.1655149922. The cubic root of 37090116 is about 333.4924942136.

Adding to 37090116 its reverse (61109073), we get a palindrome (98199189).

The spelling of 37090116 in words is "thirty-seven million, ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 691 756 852 994 1278 1382 1491 1917 1988 2073 2556 2764 2982 3834 4146 4473 4837 5964 6219 7668 8292 8946 9674 12438 13419 14511 17892 18657 19348 24876 26838 29022 37314 43533 49061 53676 58044 74628 87066 98122 130599 147183 174132 196244 261198 294366 343427 441549 522396 588732 686854 883098 1030281 1324647 1373708 1766196 2060562 2649294 3090843 4121124 5298588 6181686 9272529 12363372 18545058 37090116