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412197390 = 23351133137
BaseRepresentation
bin11000100100011…
…010001000001110
31001201121210112000
4120210122020032
51321010304030
6104522453130
713133422443
oct3044321016
91051553460
10412197390
111a1747000
12b60641a6
13675223a7
143ca5b9ca
15262c2860
hex1891a20e

412197390 has 256 divisors, whose sum is σ = 1281761280. Its totient is φ = 94089600.

The previous prime is 412197371. The next prime is 412197391. The reversal of 412197390 is 93791214.

412197390 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412197391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11140452 + ... + 11140488.

It is an arithmetic number, because the mean of its divisors is an integer number (5006880).

Almost surely, 2412197390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412197390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640880640).

412197390 is an abundant number, since it is smaller than the sum of its proper divisors (869563890).

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

412197390 is a wasteful number, since it uses less digits than its factorization.

412197390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 412197390 is about 20302.6449015886. The cubic root of 412197390 is about 744.2207006538.

The spelling of 412197390 in words is "four hundred twelve million, one hundred ninety-seven thousand, three hundred ninety".