Search a number
-
+
104069480 = 23523314189
BaseRepresentation
bin1100011001111…
…11100101101000
321020211021111012
412030333211220
5203120210410
614154323052
72402401364
oct614774550
9236737435
10104069480
1153820a39
122aa29488
1318739b98
14db702a4
15920a605
hex633f968

104069480 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 37171200.

The previous prime is 104069473. The next prime is 104069489. The reversal of 104069480 is 84960401.

It is not an unprimeable number, because it can be changed into a prime (104069489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169276 + ... + 1169364.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2104069480 is an apocalyptic number.

104069480 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 104069480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

104069480 is an abundant number, since it is smaller than the sum of its proper divisors (157204120).

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

104069480 is a wasteful number, since it uses less digits than its factorization.

104069480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 104069480 is about 10201.4449956857. Note that the first 3 decimals coincide. The cubic root of 104069480 is about 470.3716390609.

The spelling of 104069480 in words is "one hundred four million, sixty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 31 40 41 46 62 82 89 92 115 124 155 164 178 184 205 230 248 310 328 356 410 445 460 620 712 713 820 890 920 943 1240 1271 1426 1640 1780 1886 2047 2542 2759 2852 3560 3565 3649 3772 4094 4715 5084 5518 5704 6355 7130 7298 7544 8188 9430 10168 10235 11036 12710 13795 14260 14596 16376 18245 18860 20470 22072 25420 27590 28520 29192 29233 36490 37720 40940 50840 55180 58466 63457 72980 81880 83927 110360 113119 116932 126914 145960 146165 167854 226238 233864 253828 292330 317285 335708 419635 452476 507656 565595 584660 634570 671416 839270 904952 1131190 1169320 1269140 1678540 2262380 2538280 2601737 3357080 4524760 5203474 10406948 13008685 20813896 26017370 52034740 104069480