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104027280 = 24357193259
BaseRepresentation
bin1100011001101…
…01010010010000
321020202010121020
412030311102100
5203112333110
614153355440
72402134350
oct614652220
9236663536
10104027280
11537a2265
122aa08b80
1318723906
14db5cb60
1591ecd70
hex6335490

104027280 has 160 divisors (see below), whose sum is σ = 388070400. Its totient is φ = 22519296.

The previous prime is 104027269. The next prime is 104027281. The reversal of 104027280 is 82720401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104027280.

It is not an unprimeable number, because it can be changed into a prime (104027281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30291 + ... + 33549.

It is an arithmetic number, because the mean of its divisors is an integer number (2425440).

Almost surely, 2104027280 is an apocalyptic number.

104027280 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 104027280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194035200).

104027280 is an abundant number, since it is smaller than the sum of its proper divisors (284043120).

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

104027280 is a wasteful number, since it uses less digits than its factorization.

104027280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 104027280 is about 10199.3764515288. The cubic root of 104027280 is about 470.3080521612.

Adding to 104027280 its reverse (82720401), we get a palindrome (186747681).

The spelling of 104027280 in words is "one hundred four million, twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3259 3990 4560 5320 6384 6518 7980 9777 10640 13036 15960 16295 19554 22813 26072 31920 32590 39108 45626 48885 52144 61921 65180 68439 78216 91252 97770 114065 123842 130360 136878 156432 182504 185763 195540 228130 247684 260720 273756 309605 342195 365008 371526 391080 433447 456260 495368 547512 619210 684390 743052 782160 866894 912520 928815 990736 1095024 1238420 1300341 1368780 1486104 1733788 1825040 1857630 2167235 2476840 2600682 2737560 2972208 3467576 3715260 4334470 4953680 5201364 5475120 6501705 6935152 7430520 8668940 10402728 13003410 14861040 17337880 20805456 26006820 34675760 52013640 104027280