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166023104 = 26133141157
BaseRepresentation
bin10011110010101…
…00111111000000
3102120101211212212
421321110333000
5320000214404
624250241252
74054113242
oct1171247700
9376354785
10166023104
1185796685
1247726228
132851c130
141809a092
15e89706e
hex9e54fc0

166023104 has 112 divisors (see below), whose sum is σ = 377561856. Its totient is φ = 71884800.

The previous prime is 166023089. The next prime is 166023167. The reversal of 166023104 is 401320661.

It is a happy number.

166023104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166023104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057394 + ... + 1057550.

It is an arithmetic number, because the mean of its divisors is an integer number (3371088).

Almost surely, 2166023104 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 166023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188780928).

166023104 is an abundant number, since it is smaller than the sum of its proper divisors (211538752).

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

166023104 is a wasteful number, since it uses less digits than its factorization.

166023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 166023104 is about 12884.9953046169. The cubic root of 166023104 is about 549.6119621072.

Adding to 166023104 its reverse (401320661), we get a palindrome (567343765).

The spelling of 166023104 in words is "one hundred sixty-six million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 157 164 208 248 314 328 403 416 496 533 628 656 806 832 992 1066 1256 1271 1312 1612 1984 2041 2132 2512 2542 2624 3224 4082 4264 4867 5024 5084 6437 6448 8164 8528 9734 10048 10168 12874 12896 16328 16523 17056 19468 20336 25748 25792 32656 33046 34112 38936 40672 51496 63271 65312 66092 77872 81344 83681 102992 126542 130624 132184 155744 167362 199547 205984 253084 264368 311488 334724 399094 411968 506168 528736 669448 798188 1012336 1057472 1338896 1596376 2024672 2594111 2677792 3192752 4049344 5188222 5355584 6385504 10376444 12771008 20752888 41505776 83011552 166023104