Base | Representation |
---|---|
bin | 1000111010100… |
… | …1011011011000 |
3 | 2121100211010000 |
4 | 2032221123120 |
5 | 34033103021 |
6 | 3413253000 |
7 | 632562543 |
oct | 216513330 |
9 | 77324100 |
10 | 37394136 |
11 | 1a12084a |
12 | 10634160 |
13 | 7993710 |
14 | 4d7585a |
15 | 3439b26 |
hex | 23a96d8 |
37394136 has 160 divisors (see below), whose sum is σ = 118308960. Its totient is φ = 10948608.
The previous prime is 37394131. The next prime is 37394183. The reversal of 37394136 is 63149373.
37394136 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 (36).
It is a self number, because there is not a number n which added to its sum of digits gives 37394136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (37394131) 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 39 ways as a sum of consecutive naturals, for example, 193656 + ... + 193848.
It is an arithmetic number, because the mean of its divisors is an integer number (739431).
Almost surely, 237394136 is an apocalyptic number.
37394136 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 37394136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59154480).
37394136 is an abundant number, since it is smaller than the sum of its proper divisors (80914824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37394136 is a wasteful number, since it uses less digits than its factorization.
37394136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 234 counting only the distinct ones).
The product of its digits is 40824, while the sum is 36.
The square root of 37394136 is about 6115.0744885079. The cubic root of 37394136 is about 334.4012055160.
It can be divided in two parts, 3739 and 4136, that added together give a triangular number (7875 = T125).
The spelling of 37394136 in words is "thirty-seven million, three hundred ninety-four thousand, one hundred thirty-six".
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