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166795420 = 225113891949
BaseRepresentation
bin10011111000100…
…01100010011100
3102121212002022011
421330101202130
5320144423140
624315001004
74063511011
oct1174214234
9377762264
10166795420
1186173960
1247a39164
132872c81c
141821b708
15e99acea
hex9f1189c

166795420 has 48 divisors (see below), whose sum is σ = 383292000. Its totient is φ = 60465920.

The previous prime is 166795417. The next prime is 166795423. The reversal of 166795420 is 24597661.

It is an interprime number because it is at equal distance from previous prime (166795417) and next prime (166795423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166795423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84606 + ... + 86554.

It is an arithmetic number, because the mean of its divisors is an integer number (7985250).

Almost surely, 2166795420 is an apocalyptic number.

166795420 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 166795420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646000).

166795420 is an abundant number, since it is smaller than the sum of its proper divisors (216496580).

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

166795420 is a wasteful number, since it uses less digits than its factorization.

166795420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 166795420 is about 12914.9301198264. The cubic root of 166795420 is about 550.4628830530.

The spelling of 166795420 in words is "one hundred sixty-six million, seven hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 389 778 1556 1945 1949 3890 3898 4279 7780 7796 8558 9745 17116 19490 21395 21439 38980 42790 42878 85580 85756 107195 214390 428780 758161 1516322 3032644 3790805 7581610 8339771 15163220 16679542 33359084 41698855 83397710 166795420