Search a number
-
+
11407062300 = 223521911711709
BaseRepresentation
bin10101001111110100…
…11111010100011100
31002102222101210201220
422213322133110130
5141330201443200
65123524533340
7552451300254
oct124772372434
932388353656
1011407062300
114923a97817
122264251250
1310ca36c60a
147a2d92964
1546b69a4a0
hex2a7e9f51c

11407062300 has 144 divisors (see below), whose sum is σ = 34791523200. Its totient is φ = 2877638400.

The previous prime is 11407062299. The next prime is 11407062349. The reversal of 11407062300 is 326070411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6673846 + ... + 6675554.

It is an arithmetic number, because the mean of its divisors is an integer number (241607800).

Almost surely, 211407062300 is an apocalyptic number.

11407062300 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 11407062300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395761600).

11407062300 is an abundant number, since it is smaller than the sum of its proper divisors (23384460900).

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

11407062300 is a wasteful number, since it uses less digits than its factorization.

11407062300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 11407062300 in words is "eleven billion, four hundred seven million, sixty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1171 1425 1709 1900 2342 2850 3418 3513 4684 5127 5700 5855 6836 7026 8545 10254 11710 14052 17090 17565 20508 22249 23420 25635 29275 32471 34180 35130 42725 44498 51270 58550 64942 66747 70260 85450 87825 88996 97413 102540 111245 117100 128175 129884 133494 162355 170900 175650 194826 222490 256350 266988 324710 333735 351300 389652 444980 487065 512700 556225 649420 667470 811775 974130 1112450 1334940 1623550 1668675 1948260 2001239 2224900 2435325 3247100 3337350 4002478 4870650 6003717 6674700 8004956 9741300 10006195 12007434 20012390 24014868 30018585 38023541 40024780 50030975 60037170 76047082 100061950 114070623 120074340 150092925 152094164 190117705 200123900 228141246 300185850 380235410 456282492 570353115 600371700 760470820 950588525 1140706230 1901177050 2281412460 2851765575 3802354100 5703531150 11407062300