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166361052 = 2231113293343
BaseRepresentation
bin10011110101001…
…11011111011100
3102121001000110110
421322213133130
5320042023202
624301410020
74060021434
oct1172473734
9377030413
10166361052
11859a7580
1247869910
1328609bc0
14181472c4
15e91226c
hex9ea77dc

166361052 has 96 divisors (see below), whose sum is σ = 471905280. Its totient is φ = 44916480.

The previous prime is 166361009. The next prime is 166361057. The reversal of 166361052 is 250163661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166361057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48093 + ... + 51435.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2166361052 is an apocalyptic number.

166361052 is a gapful number since it is divisible by the number (12) 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 166361052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235952640).

166361052 is an abundant number, since it is smaller than the sum of its proper divisors (305544228).

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

166361052 is a wasteful number, since it uses less digits than its factorization.

166361052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 166361052 is about 12898.1026511654. The cubic root of 166361052 is about 549.9846298735.

The spelling of 166361052 in words is "one hundred sixty-six million, three hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 572 638 754 858 957 1131 1276 1508 1716 1914 2262 3343 3828 4147 4524 6686 8294 10029 12441 13372 16588 20058 24882 36773 40116 43459 49764 73546 86918 96947 110319 130377 147092 173836 193894 220638 260754 290841 387788 441276 478049 521508 581682 956098 1066417 1163364 1260311 1434147 1912196 2132834 2520622 2868294 3199251 3780933 4265668 5041244 5736588 6398502 7561866 12797004 13863421 15123732 27726842 41590263 55453684 83180526 166361052