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406861128 = 233210155949
BaseRepresentation
bin11000010000000…
…011010101001000
31001100120200112200
4120100003111020
51313124024003
6104212240200
713040156022
oct3020032510
91040520480
10406861128
11199731873
12b4310060
13663a453b
143c06d012
1525abb6a3
hex18403548

406861128 has 48 divisors (see below), whose sum is σ = 1112845500. Its totient is φ = 134275200.

The previous prime is 406861127. The next prime is 406861157. The reversal of 406861128 is 821168604.

It can be written as a sum of positive squares in 2 ways, for example, as 396089604 + 10771524 = 19902^2 + 3282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406861092 and 406861101.

It is not an unprimeable number, because it can be changed into a prime (406861121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20703 + ... + 35246.

Almost surely, 2406861128 is an apocalyptic number.

It is an amenable number.

406861128 is an abundant number, since it is smaller than the sum of its proper divisors (705984372).

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

406861128 is a wasteful number, since it uses less digits than its factorization.

406861128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56062 (or 56055 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 406861128 is about 20170.7988934499. The cubic root of 406861128 is about 740.9952083263.

It can be divided in two parts, 40686 and 1128, that added together give a palindrome (41814).

The spelling of 406861128 in words is "four hundred six million, eight hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 55949 111898 167847 223796 335694 447592 503541 671388 1007082 1342776 2014164 4028328 5650849 11301698 16952547 22603396 33905094 45206792 50857641 67810188 101715282 135620376 203430564 406861128