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166006620 = 2232513611163
BaseRepresentation
bin10011110010100…
…00111101011100
3102120101000021100
421321100331130
5314444202440
624250033100
74054014213
oct1171207534
9376330240
10166006620
118578525a
1247718790
1328514790
141809407a
15e892230
hex9e50f5c

166006620 has 144 divisors (see below), whose sum is σ = 551652192. Its totient is φ = 40158720.

The previous prime is 166006601. The next prime is 166006639. The reversal of 166006620 is 26600661.

It is an interprime number because it is at equal distance from previous prime (166006601) and next prime (166006639).

It is a congruent 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, 142159 + ... + 143321.

It is an arithmetic number, because the mean of its divisors is an integer number (3830918).

Almost surely, 2166006620 is an apocalyptic number.

166006620 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 166006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275826096).

166006620 is an abundant number, since it is smaller than the sum of its proper divisors (385645572).

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

166006620 is a wasteful number, since it uses less digits than its factorization.

166006620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166006620 is about 12884.3556299879. The cubic root of 166006620 is about 549.5937716602.

It can be divided in two parts, 16600 and 6620, that added together give a triangular number (23220 = T215).

The spelling of 166006620 in words is "one hundred sixty-six million, six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 732 780 793 915 1098 1163 1170 1220 1586 1830 2196 2326 2340 2379 2745 3172 3489 3660 3965 4652 4758 5490 5815 6978 7137 7930 9516 10467 10980 11630 11895 13956 14274 15119 15860 17445 20934 23260 23790 28548 30238 34890 35685 41868 45357 47580 52335 60476 69780 70943 71370 75595 90714 104670 136071 141886 142740 151190 181428 209340 212829 226785 272142 283772 302380 354715 425658 453570 544284 638487 680355 709430 851316 907140 922259 1064145 1276974 1360710 1418860 1844518 2128290 2553948 2721420 2766777 3192435 3689036 4256580 4611295 5533554 6384870 8300331 9222590 11067108 12769740 13833885 16600662 18445180 27667770 33201324 41501655 55335540 83003310 166006620