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166148480 = 2751715271
BaseRepresentation
bin10011110011100…
…11100110000000
3102120122012212102
421321303212000
5320013222410
624253045532
74055144621
oct1171634600
9376565772
10166148480
11858718a3
12477868a8
1328564214
14180cda48
15e8be2a5
hex9e73980

166148480 has 64 divisors (see below), whose sum is σ = 420590880. Its totient is φ = 62545920.

The previous prime is 166148473. The next prime is 166148501. The reversal of 166148480 is 84841661.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3245 + ... + 18515.

Almost surely, 2166148480 is an apocalyptic number.

166148480 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 166148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210295440).

166148480 is an abundant number, since it is smaller than the sum of its proper divisors (254442400).

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

166148480 is a wasteful number, since it uses less digits than its factorization.

166148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 166148480 is about 12889.8595803058. The cubic root of 166148480 is about 549.7502778178.

The spelling of 166148480 in words is "one hundred sixty-six million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 15271 30542 61084 76355 122168 152710 244336 259607 305420 488672 519214 610840 977344 1038428 1221680 1298035 1954688 2076856 2443360 2596070 4153712 4886720 5192140 8307424 9773440 10384280 16614848 20768560 33229696 41537120 83074240 166148480