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166440 = 23351973
BaseRepresentation
bin101000101000101000
322110022110
4220220220
520311230
63322320
71262151
oct505050
9273273
10166440
1110405a
12803a0
135a9b1
1444928
15344b0
hex28a28

166440 has 64 divisors (see below), whose sum is σ = 532800. Its totient is φ = 41472.

The previous prime is 166429. The next prime is 166457. The reversal of 166440 is 44661.

166440 is an undulating number in base 8.

It is an unprimeable number.

166440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (8325).

2166440 is an apocalyptic number.

166440 is a gapful number since it is divisible by the number (10) 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 166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266400).

166440 is an abundant number, since it is smaller than the sum of its proper divisors (366360).

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

166440 is a wasteful number, since it uses less digits than its factorization.

166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 166440 is about 407.9705871751. The cubic root of 166440 is about 55.0071616019.

It can be divided in two parts, 166 and 440, that added together give a palindrome (606).

The spelling of 166440 in words is "one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 73 76 95 114 120 146 152 190 219 228 285 292 365 380 438 456 570 584 730 760 876 1095 1140 1387 1460 1752 2190 2280 2774 2920 4161 4380 5548 6935 8322 8760 11096 13870 16644 20805 27740 33288 41610 55480 83220 166440