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166681890 = 23256197313
BaseRepresentation
bin10011110111101…
…01110100100010
3102121122022120100
421323311310202
5320132310030
624312323230
74062526014
oct1173656442
9377568510
10166681890
11860a6631
12479a3516
13286bcc4b
14181cc1b4
15e977360
hex9ef5d22

166681890 has 96 divisors (see below), whose sum is σ = 446440176. Its totient is φ = 43130880.

The previous prime is 166681877. The next prime is 166681901. The reversal of 166681890 is 98186661.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 194481 + 166487409 = 441^2 + 12903^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532374 + ... + 532686.

Almost surely, 2166681890 is an apocalyptic number.

166681890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166681890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223220088).

166681890 is an abundant number, since it is smaller than the sum of its proper divisors (279758286).

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

166681890 is a wasteful number, since it uses less digits than its factorization.

166681890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 166681890 is about 12910.5340710600. The cubic root of 166681890 is about 550.3379630854.

The spelling of 166681890 in words is "one hundred sixty-six million, six hundred eighty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 97 122 183 194 291 305 313 366 485 549 582 610 626 873 915 939 970 1098 1455 1565 1746 1830 1878 2745 2817 2910 3130 4365 4695 5490 5634 5917 8730 9390 11834 14085 17751 19093 28170 29585 30361 35502 38186 53253 57279 59170 60722 88755 91083 95465 106506 114558 151805 171837 177510 182166 190930 266265 273249 286395 303610 343674 455415 532530 546498 572790 859185 910830 1366245 1718370 1852021 2732490 3704042 5556063 9260105 11112126 16668189 18520210 27780315 33336378 55560630 83340945 166681890