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166260480 = 2835291493
BaseRepresentation
bin10011110100011…
…10111100000000
3102120211220111120
421322032330000
5320030313410
624255312240
74056122301
oct1172167400
9376756446
10166260480
1185938a61
124781b680
13285a31a9
141811c7a8
15e8e2570
hex9e8ef00

166260480 has 144 divisors (see below), whose sum is σ = 549672480. Its totient is φ = 42778624.

The previous prime is 166260473. The next prime is 166260481. The reversal of 166260480 is 84062661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166260481) 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, 110614 + ... + 112106.

It is an arithmetic number, because the mean of its divisors is an integer number (3817170).

Almost surely, 2166260480 is an apocalyptic number.

166260480 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 166260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274836240).

166260480 is an abundant number, since it is smaller than the sum of its proper divisors (383412000).

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

166260480 is a wasteful number, since it uses less digits than its factorization.

166260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 166260480 is about 12894.2033487920. The cubic root of 166260480 is about 549.8737781976.

The spelling of 166260480 in words is "one hundred sixty-six million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1493 1740 1856 1920 2320 2784 2986 3480 3712 3840 4479 4640 5568 5972 6960 7424 7465 8958 9280 11136 11944 13920 14930 17916 18560 22272 22395 23888 27840 29860 35832 37120 43297 44790 47776 55680 59720 71664 86594 89580 95552 111360 119440 129891 143328 173188 179160 191104 216485 238880 259782 286656 346376 358320 382208 432970 477760 519564 573312 649455 692752 716640 865940 955520 1039128 1146624 1298910 1385504 1433280 1731880 1911040 2078256 2597820 2771008 2866560 3463760 4156512 5195640 5542016 5733120 6927520 8313024 10391280 11084032 13855040 16626048 20782560 27710080 33252096 41565120 55420160 83130240 166260480