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10366164 = 2233531811
BaseRepresentation
bin100111100010…
…110011010100
3201111122201000
4213202303110
510123204124
61010103300
7154053024
oct47426324
921448630
1010366164
115940286
12357ab30
1321bc433
14153ba84
15d9b6c9
hex9e2cd4

10366164 has 48 divisors (see below), whose sum is σ = 27397440. Its totient is φ = 3388320.

The previous prime is 10366163. The next prime is 10366177. The reversal of 10366164 is 46166301.

10366164 is a `hidden beast` number, since 10 + 36 + 616 + 4 = 666.

10366164 is digitally balanced in base 2 and base 4, because in such bases 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10366163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4819 + ... + 6629.

It is an arithmetic number, because the mean of its divisors is an integer number (570780).

Almost surely, 210366164 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 10366164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698720).

10366164 is an abundant number, since it is smaller than the sum of its proper divisors (17031276).

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

10366164 is a wasteful number, since it uses less digits than its factorization.

10366164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10366164 is about 3219.6527763099. The cubic root of 10366164 is about 218.0415991092.

The spelling of 10366164 in words is "ten million, three hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1811 1908 2862 3622 5433 5724 7244 10866 16299 21732 32598 48897 65196 95983 97794 191966 195588 287949 383932 575898 863847 1151796 1727694 2591541 3455388 5183082 10366164