Search a number
-
+
10413780 = 223513379
BaseRepresentation
bin100111101110…
…011011010100
3201121002000120
4213232123110
510131220110
61011111540
7154341606
oct47563324
921532016
1010413780
115973033
1235a25b0
132208000
141551176
15daa870
hex9ee6d4

10413780 has 96 divisors (see below), whose sum is σ = 31987200. Its totient is φ = 2530944.

The previous prime is 10413773. The next prime is 10413833. The reversal of 10413780 is 8731401.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10413780.

It is a congruent number.

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, 131781 + ... + 131859.

It is an arithmetic number, because the mean of its divisors is an integer number (333200).

Almost surely, 210413780 is an apocalyptic number.

10413780 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 10413780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993600).

10413780 is an abundant number, since it is smaller than the sum of its proper divisors (21573420).

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

10413780 is a wasteful number, since it uses less digits than its factorization.

10413780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10413780 is about 3227.0388903761. The cubic root of 10413780 is about 218.3749404354.

The spelling of 10413780 in words is "ten million, four hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 169 195 237 260 316 338 390 395 474 507 676 780 790 845 948 1014 1027 1185 1580 1690 2028 2054 2197 2370 2535 3081 3380 4108 4394 4740 5070 5135 6162 6591 8788 10140 10270 10985 12324 13182 13351 15405 20540 21970 26364 26702 30810 32955 40053 43940 53404 61620 65910 66755 80106 131820 133510 160212 173563 200265 267020 347126 400530 520689 694252 801060 867815 1041378 1735630 2082756 2603445 3471260 5206890 10413780