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165280640 = 275779467
BaseRepresentation
bin10011101100111…
…11101110000000
3102112000010102012
421312133232000
5314302440030
624222312052
74044601520
oct1166375600
9375003365
10165280640
1185329878
1247428628
132831c1c5
1417d45680
15e79c095
hex9d9fb80

165280640 has 128 divisors (see below), whose sum is σ = 458265600. Its totient is φ = 55830528.

The previous prime is 165280631. The next prime is 165280649. The reversal of 165280640 is 46082561.

It is an interprime number because it is at equal distance from previous prime (165280631) and next prime (165280649).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 165280597 and 165280606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165280649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353687 + ... + 354153.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2165280640 is an apocalyptic number.

165280640 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 165280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

165280640 is an abundant number, since it is smaller than the sum of its proper divisors (292984960).

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

165280640 is an equidigital number, since it uses as much as digits as its factorization.

165280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 165280640 is about 12856.1518348221. The cubic root of 165280640 is about 548.7914399411.

The spelling of 165280640 in words is "one hundred sixty-five million, two hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 280 316 320 395 448 467 553 560 632 640 790 896 934 1106 1120 1264 1580 1868 2212 2240 2335 2528 2765 3160 3269 3736 4424 4480 4670 5056 5530 6320 6538 7472 8848 9340 10112 11060 12640 13076 14944 16345 17696 18680 22120 25280 26152 29888 32690 35392 36893 37360 44240 50560 52304 59776 65380 70784 73786 74720 88480 104608 130760 147572 149440 176960 184465 209216 258251 261520 295144 298880 353920 368930 418432 516502 523040 590288 737860 1033004 1046080 1180576 1291255 1475720 2066008 2092160 2361152 2582510 2951440 4132016 4722304 5165020 5902880 8264032 10330040 11805760 16528064 20660080 23611520 33056128 41320160 82640320 165280640