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166985874 = 23411831129
BaseRepresentation
bin10011111010000…
…00000010010010
3102122012202120000
421331000002102
5320222021444
624323030430
74065233166
oct1175000222
9378182500
10166985874
1186293a60
1247b0b416
1328798413
141826aca6
15e9d7469
hex9f40092

166985874 has 80 divisors (see below), whose sum is σ = 413471520. Its totient is φ = 49947840.

The previous prime is 166985867. The next prime is 166985879. The reversal of 166985874 is 478589661.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 166985874.

It is not an unprimeable number, because it can be changed into a prime (166985879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147342 + ... + 148470.

It is an arithmetic number, because the mean of its divisors is an integer number (5168394).

Almost surely, 2166985874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166985874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206735760).

166985874 is an abundant number, since it is smaller than the sum of its proper divisors (246485646).

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

166985874 is a wasteful number, since it uses less digits than its factorization.

166985874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1228 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 166985874 is about 12922.3014204127. The cubic root of 166985874 is about 550.6723172219.

The spelling of 166985874 in words is "one hundred sixty-six million, nine hundred eighty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 83 99 162 166 198 249 297 498 594 747 891 913 1129 1494 1782 1826 2241 2258 2739 3387 4482 5478 6723 6774 8217 10161 12419 13446 16434 20322 24651 24838 30483 37257 49302 60966 73953 74514 91449 93707 111771 147906 182898 187414 223542 281121 335313 562242 670626 843363 1005939 1030777 1686726 2011878 2061554 2530089 3092331 5060178 6184662 7590267 9276993 15180534 18553986 27830979 55661958 83492937 166985874