Search a number
-
+
104943720 = 23357177349
BaseRepresentation
bin1100100000101…
…01000001101000
321022110200201110
412100111001220
5203331144340
614225150320
72413002240
oct620250150
9238420643
10104943720
1154268852
122b18b3a0
1318984a9b
14dd1ab20
15932e680
hex6415068

104943720 has 128 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 22573056.

The previous prime is 104943719. The next prime is 104943739. The reversal of 104943720 is 27349401.

It is a happy number.

It is a super-2 number, since 2×1049437202 = 22026368734876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10606 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2104943720 is an apocalyptic number.

104943720 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 104943720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

104943720 is an abundant number, since it is smaller than the sum of its proper divisors (276080280).

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

104943720 is a wasteful number, since it uses less digits than its factorization.

104943720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 104943720 is about 10244.2042150672. The cubic root of 104943720 is about 471.6850935017.

The spelling of 104943720 in words is "one hundred four million, nine hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 7349 14280 14698 22047 29396 36745 44094 51443 58792 73490 88188 102886 110235 124933 146980 154329 176376 205772 220470 249866 257215 293960 308658 374799 411544 440940 499732 514430 617316 624665 749598 771645 874531 881880 999464 1028860 1234632 1249330 1499196 1543290 1749062 1873995 2057720 2498660 2623593 2998392 3086580 3498124 3747990 4372655 4997320 5247186 6173160 6996248 7495980 8745310 10494372 13117965 14991960 17490620 20988744 26235930 34981240 52471860 104943720