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166960050 = 23526171257
BaseRepresentation
bin10011111001110…
…01101110110010
3102122011110010120
421330321232302
5320220210200
624322311110
74065064665
oct1174715662
9378143116
10166960050
1186276614
1247ab8496
132878973a
14182616dc
15e9ce9a0
hex9f39bb2

166960050 has 96 divisors (see below), whose sum is σ = 428436864. Its totient is φ = 43008000.

The previous prime is 166960019. The next prime is 166960063. The reversal of 166960050 is 50069661.

It is a junction number, because it is equal to n+sod(n) for n = 166959993 and 166960020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649522 + ... + 649778.

It is an arithmetic number, because the mean of its divisors is an integer number (4462884).

Almost surely, 2166960050 is an apocalyptic number.

166960050 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 166960050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214218432).

166960050 is an abundant number, since it is smaller than the sum of its proper divisors (261476814).

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

166960050 is a wasteful number, since it uses less digits than its factorization.

166960050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 166960050 is about 12921.3021789601. The cubic root of 166960050 is about 550.6439290022.

The spelling of 166960050 in words is "one hundred sixty-six million, nine hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 71 75 122 142 150 183 213 257 305 355 366 426 514 610 710 771 915 1065 1285 1525 1542 1775 1830 2130 2570 3050 3550 3855 4331 4575 5325 6425 7710 8662 9150 10650 12850 12993 15677 18247 19275 21655 25986 31354 36494 38550 43310 47031 54741 64965 78385 91235 94062 108275 109482 129930 156770 182470 216550 235155 273705 324825 391925 456175 470310 547410 649650 783850 912350 1113067 1175775 1368525 2226134 2351550 2737050 3339201 5565335 6678402 11130670 16696005 27826675 33392010 55653350 83480025 166960050