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8146980 = 2234547107
BaseRepresentation
bin11111000101000000100100
3120022220120000
4133011000210
54041200410
6450341300
7126151062
oct37050044
916286500
108146980
114664a46
12288a830
1318c32ca
141121032
15aaddc0
hex7c5024

8146980 has 120 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 2106432.

The previous prime is 8146969. The next prime is 8147039. The reversal of 8146980 is 896418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76087 + ... + 76193.

Almost surely, 28146980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8146980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

8146980 is an abundant number, since it is smaller than the sum of its proper divisors (18198108).

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

8146980 is a wasteful number, since it uses less digits than its factorization.

8146980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8146980 is about 2854.2915057856. The cubic root of 8146980 is about 201.2174078877.

The spelling of 8146980 in words is "eight million, one hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 107 108 135 141 162 180 188 214 235 270 282 321 324 405 423 428 470 535 540 564 642 705 810 846 940 963 1070 1269 1284 1410 1605 1620 1692 1926 2115 2140 2538 2820 2889 3210 3807 3852 4230 4815 5029 5076 5778 6345 6420 7614 8460 8667 9630 10058 11556 12690 14445 15087 15228 17334 19035 19260 20116 25145 25380 28890 30174 34668 38070 43335 45261 50290 57780 60348 75435 76140 86670 90522 100580 135783 150870 173340 181044 226305 271566 301740 407349 452610 543132 678915 814698 905220 1357830 1629396 2036745 2715660 4073490 8146980