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36672396 = 22323253109
BaseRepresentation
bin1000101111100…
…1001110001100
32120000011001220
42023321032030
533342004041
63350003340
7623465415
oct213711614
976004056
1036672396
1119778572
1210346550
1377a0057
144c2880c
153345d66
hex22f938c

36672396 has 72 divisors (see below), whose sum is σ = 91974960. Its totient is φ = 11366784.

The previous prime is 36672359. The next prime is 36672397. The reversal of 36672396 is 69327663.

36672396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36672397) 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 23 ways as a sum of consecutive naturals, for example, 336390 + ... + 336498.

It is an arithmetic number, because the mean of its divisors is an integer number (1277430).

Almost surely, 236672396 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 36672396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45987480).

36672396 is an abundant number, since it is smaller than the sum of its proper divisors (55302564).

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

36672396 is a wasteful number, since it uses less digits than its factorization.

36672396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 36672396 is about 6055.7737738459. The cubic root of 36672396 is about 332.2358004531.

The spelling of 36672396 in words is "thirty-six million, six hundred seventy-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 109 138 159 212 218 276 318 327 436 529 636 654 1058 1219 1308 1587 2116 2438 2507 3174 3657 4876 5014 5777 6348 7314 7521 10028 11554 14628 15042 17331 23108 28037 30084 34662 56074 57661 69324 84111 112148 115322 132871 168222 172983 230644 265742 336444 345966 398613 531484 691932 797226 1594452 3056033 6112066 9168099 12224132 18336198 36672396