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166861890 = 233513137347
BaseRepresentation
bin10011111001000…
…01110001000010
3102121222110111000
421330201301002
5320204040030
624320232430
74064205546
oct1174416102
9377873430
10166861890
1186209898
1247a6b716
1328753b60
1418237a26
15e9b0860
hex9f21c42

166861890 has 128 divisors (see below), whose sum is σ = 484081920. Its totient is φ = 40656384.

The previous prime is 166861889. The next prime is 166861927. The reversal of 166861890 is 98168661.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480697 + ... + 481043.

It is an arithmetic number, because the mean of its divisors is an integer number (3781890).

Almost surely, 2166861890 is an apocalyptic number.

166861890 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 166861890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242040960).

166861890 is an abundant number, since it is smaller than the sum of its proper divisors (317220030).

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

166861890 is a wasteful number, since it uses less digits than its factorization.

166861890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

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

The square root of 166861890 is about 12917.5032417259. The cubic root of 166861890 is about 550.5359953893.

The spelling of 166861890 in words is "one hundred sixty-six million, eight hundred sixty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 137 195 234 270 274 347 351 390 411 585 685 694 702 822 1041 1170 1233 1370 1735 1755 1781 2055 2082 2466 3123 3470 3510 3562 3699 4110 4511 5205 5343 6165 6246 7398 8905 9022 9369 10410 10686 12330 13533 15615 16029 17810 18495 18738 22555 26715 27066 31230 32058 36990 40599 45110 46845 47539 48087 53430 67665 80145 81198 93690 95078 96174 121797 135330 142617 160290 202995 237695 240435 243594 285234 405990 427851 475390 480870 608985 618007 713085 855702 1217970 1236014 1283553 1426170 1854021 2139255 2567106 3090035 3708042 4278510 5562063 6180070 6417765 9270105 11124126 12835530 16686189 18540210 27810315 33372378 55620630 83430945 166861890