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413703060 = 223531972293
BaseRepresentation
bin11000101010001…
…001101110010100
31001211110021220120
4120222021232110
51321401444220
6105015031540
713152263241
oct3052115624
91054407816
10413703060
111a2585261
12b666b5b0
136792b814
143cd305c8
15264bda40
hex18a89b94

413703060 has 96 divisors (see below), whose sum is σ = 1208589312. Its totient is φ = 105615360.

The previous prime is 413703049. The next prime is 413703083. The reversal of 413703060 is 60307314.

It is a self number, because there is not a number n which added to its sum of digits gives 413703060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179274 + ... + 181566.

It is an arithmetic number, because the mean of its divisors is an integer number (12589472).

Almost surely, 2413703060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413703060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604294656).

413703060 is an abundant number, since it is smaller than the sum of its proper divisors (794886252).

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

413703060 is a wasteful number, since it uses less digits than its factorization.

413703060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 413703060 is about 20339.6917380771. The cubic root of 413703060 is about 745.1257598908.

The spelling of 413703060 in words is "four hundred thirteen million, seven hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 155 186 194 291 310 372 388 465 485 582 620 930 970 1164 1455 1860 1940 2293 2910 3007 4586 5820 6014 6879 9021 9172 11465 12028 13758 15035 18042 22930 27516 30070 34395 36084 45105 45860 60140 68790 71083 90210 137580 142166 180420 213249 222421 284332 355415 426498 444842 667263 710830 852996 889684 1066245 1112105 1334526 1421660 2132490 2224210 2669052 3336315 4264980 4448420 6672630 6895051 13345260 13790102 20685153 27580204 34475255 41370306 68950510 82740612 103425765 137901020 206851530 413703060