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104908680 = 23325833511
BaseRepresentation
bin1100100000011…
…00011110001000
321022101220122200
412100030132020
5203324034210
614224320200
72412465132
oct620143610
9238356580
10104908680
1154244498
122b173060
1318971b56
14dd0c052
1593240c0
hex640c788

104908680 has 96 divisors (see below), whose sum is σ = 345159360. Its totient is φ = 27630720.

The previous prime is 104908663. The next prime is 104908703. The reversal of 104908680 is 86809401.

It is a happy number.

104908680 is a `hidden beast` number, since 10 + 490 + 86 + 80 = 666.

It is a super-2 number, since 2×1049086802 = 22011662278684800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28125 + ... + 31635.

It is an arithmetic number, because the mean of its divisors is an integer number (3595410).

Almost surely, 2104908680 is an apocalyptic number.

104908680 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 104908680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172579680).

104908680 is an abundant number, since it is smaller than the sum of its proper divisors (240250680).

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

104908680 is a wasteful number, since it uses less digits than its factorization.

104908680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3604 counting only the distinct ones).

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

The square root of 104908680 is about 10242.4938369520. The cubic root of 104908680 is about 471.6325901677.

The spelling of 104908680 in words is "one hundred four million, nine hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3511 3735 4980 5976 7022 7470 9960 10533 14044 14940 17555 21066 28088 29880 31599 35110 42132 52665 63198 70220 84264 105330 126396 140440 157995 210660 252792 291413 315990 421320 582826 631980 874239 1165652 1263960 1457065 1748478 2331304 2622717 2914130 3496956 4371195 5245434 5828260 6993912 8742390 10490868 11656520 13113585 17484780 20981736 26227170 34969560 52454340 104908680