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413411130 = 232511537879
BaseRepresentation
bin11000101001000…
…010011100111010
31001210220110110100
4120221002130322
51321313124010
6105004500230
713146636156
oct3051023472
91053813410
10413411130
111a23a59a0
12b654a676
1367858992
143cc96066
15264622c0
hex18a4273a

413411130 has 96 divisors (see below), whose sum is σ = 1194860160. Its totient is φ = 98317440.

The previous prime is 413411123. The next prime is 413411147. The reversal of 413411130 is 31114314.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 48531 + ... + 56409.

It is an arithmetic number, because the mean of its divisors is an integer number (12446460).

Almost surely, 2413411130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413411130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597430080).

413411130 is an abundant number, since it is smaller than the sum of its proper divisors (781449030).

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

413411130 is a wasteful number, since it uses less digits than its factorization.

413411130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 413411130 is about 20332.5141091799. The cubic root of 413411130 is about 744.9504523900.

Adding to 413411130 its reverse (31114314), we get a palindrome (444525444).

The spelling of 413411130 in words is "four hundred thirteen million, four hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 795 954 990 1166 1590 1749 2385 2915 3498 4770 5247 5830 7879 8745 10494 15758 17490 23637 26235 39395 47274 52470 70911 78790 86669 118185 141822 173338 236370 260007 354555 417587 433345 520014 709110 780021 835174 866690 1252761 1300035 1560042 2087935 2505522 2600070 3758283 3900105 4175870 4593457 6263805 7516566 7800210 9186914 12527610 13780371 18791415 22967285 27560742 37582830 41341113 45934570 68901855 82682226 137803710 206705565 413411130