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405128130 = 235117117291
BaseRepresentation
bin11000001001011…
…100001111000010
31001020022122022120
4120021130033002
51312203100010
6104111145110
713016350401
oct3011341702
91036278276
10405128130
11198758840
12b3815196
1365c187b4
143bb3b638
1525877e70
hex1825c3c2

405128130 has 64 divisors (see below), whose sum is σ = 1075700736. Its totient is φ = 96824000.

The previous prime is 405128123. The next prime is 405128147. The reversal of 405128130 is 31821504.

It is a self number, because there is not a number n which added to its sum of digits gives 405128130.

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, 14785 + ... + 32075.

It is an arithmetic number, because the mean of its divisors is an integer number (16807824).

Almost surely, 2405128130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405128130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537850368).

405128130 is an abundant number, since it is smaller than the sum of its proper divisors (670572606).

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

405128130 is a wasteful number, since it uses less digits than its factorization.

405128130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17383.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 405128130 is about 20127.7949611973. The cubic root of 405128130 is about 739.9416377152.

Adding to 405128130 its reverse (31821504), we get a palindrome (436949634).

The spelling of 405128130 in words is "four hundred five million, one hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 11715 17291 23430 34582 51873 86455 103746 172910 190201 259365 380402 518730 570603 951005 1141206 1227661 1902010 2455322 2853015 3682983 5706030 6138305 7365966 12276610 13504271 18414915 27008542 36829830 40512813 67521355 81025626 135042710 202564065 405128130