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36161028 = 223219291823
BaseRepresentation
bin1000100111110…
…0011000000100
32112001011121100
42021330120010
533224123103
63331020100
7616235511
oct211743004
975034540
1036161028
1119459352
121013a630
137651377
144b34308
1532945a3
hex227c604

36161028 has 72 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 11019456.

The previous prime is 36161003. The next prime is 36161029. The reversal of 36161028 is 82016163.

It is a junction number, because it is equal to n+sod(n) for n = 36160992 and 36161010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36161029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18925 + ... + 20747.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 236161028 is an apocalyptic number.

36161028 is a gapful number since it is divisible by the number (38) 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 36161028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

36161028 is an abundant number, since it is smaller than the sum of its proper divisors (63429372).

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

36161028 is a wasteful number, since it uses less digits than its factorization.

36161028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1876 counting only the distinct ones).

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

The square root of 36161028 is about 6013.4040276702. The cubic root of 36161028 is about 330.6843100158.

The spelling of 36161028 in words is "thirty-six million, one hundred sixty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 1823 2204 3306 3646 4959 5469 6612 7292 9918 10938 16407 19836 21876 32814 34637 52867 65628 69274 103911 105734 138548 158601 207822 211468 311733 317202 415644 475803 623466 634404 951606 1004473 1246932 1903212 2008946 3013419 4017892 6026838 9040257 12053676 18080514 36161028