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413041380 = 223519418837
BaseRepresentation
bin11000100111101…
…000001011100100
31001210012200020220
4120213220023210
51321214311010
6104552524340
713143536163
oct3047501344
91053180226
10413041380
111a2173114
12b63b06b0
13677595ab
143cbdb3da
15263dc970
hex189e82e4

413041380 has 96 divisors (see below), whose sum is σ = 1247218560. Its totient is φ = 101790720.

The previous prime is 413041379. The next prime is 413041459. The reversal of 413041380 is 83140314.

It is a self number, because there is not a number n which added to its sum of digits gives 413041380.

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, 42322 + ... + 51158.

It is an arithmetic number, because the mean of its divisors is an integer number (12991860).

Almost surely, 2413041380 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 413041380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623609280).

413041380 is an abundant number, since it is smaller than the sum of its proper divisors (834177180).

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

413041380 is a wasteful number, since it uses less digits than its factorization.

413041380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 413041380 is about 20323.4194957443. The cubic root of 413041380 is about 744.7282945355.

Adding to 413041380 its reverse (83140314), we get a palindrome (496181694).

The spelling of 413041380 in words is "four hundred thirteen million, forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 8837 9348 11685 15580 17674 23370 26511 35348 44185 46740 53022 88370 106044 132555 167903 176740 265110 335806 362317 503709 530220 671612 724634 839515 1007418 1086951 1449268 1679030 1811585 2014836 2173902 2518545 3358060 3623170 4347804 5037090 5434755 6884023 7246340 10074180 10869510 13768046 20652069 21739020 27536092 34420115 41304138 68840230 82608276 103260345 137680460 206520690 413041380