Search a number
-
+
104206727340 = 223351186316267
BaseRepresentation
bin110000100001100110…
…1000111100010101100
3100221222100100020022000
41201003031013202230
53201403410233330
6115512155452300
710346224365462
oct1410315074254
9327870306260
10104206727340
1140214a87671
1218242757090
139a99202511
145087a28832
152a9d6e7560
hex18433478ac

104206727340 has 96 divisors (see below), whose sum is σ = 324245967360. Its totient is φ = 27784410048.

The previous prime is 104206727333. The next prime is 104206727389. The reversal of 104206727340 is 43727602401.

104206727340 is a `hidden beast` number, since 104 + 206 + 7 + 2 + 7 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104206727295 and 104206727304.

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, 6397887 + ... + 6414153.

It is an arithmetic number, because the mean of its divisors is an integer number (3377562160).

Almost surely, 2104206727340 is an apocalyptic number.

104206727340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104206727340 is an abundant number, since it is smaller than the sum of its proper divisors (220039240020).

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

104206727340 is a wasteful number, since it uses less digits than its factorization.

104206727340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28148 (or 28140 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 104206727340 in words is "one hundred four billion, two hundred six million, seven hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 11863 16267 23726 32534 35589 47452 48801 59315 65068 71178 81335 97602 106767 118630 142356 146403 162670 177945 195204 213534 237260 244005 292806 320301 325340 355890 427068 439209 488010 533835 585612 640602 711780 732015 878418 976020 1067670 1281204 1464030 1601505 1756836 2135340 2196045 2928060 3203010 4392090 6406020 8784180 192975421 385950842 578926263 771901684 964877105 1157852526 1736778789 1929754210 2315705052 2894631315 3473557578 3859508420 5210336367 5789262630 6947115156 8683893945 10420672734 11578525260 17367787890 20841345468 26051681835 34735575780 52103363670 104206727340