Search a number
-
+
6141408 = 2537131937
BaseRepresentation
bin10111011011010111100000
3102120000102120
4113123113200
53033011113
6335344240
7103125660
oct27332740
912500376
106141408
113515149
122082080
131370490
14b5c1a0
15814a23
hex5db5e0

6141408 has 192 divisors, whose sum is σ = 21450240. Its totient is φ = 1492992.

The previous prime is 6141407. The next prime is 6141409. The reversal of 6141408 is 8041416.

It is an interprime number because it is at equal distance from previous prime (6141407) and next prime (6141409).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141407) by changing a digit.

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, 165966 + ... + 166002.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 26141408 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 6141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

6141408 is an abundant number, since it is smaller than the sum of its proper divisors (15308832).

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

6141408 is a wasteful number, since it uses less digits than its factorization.

6141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6141408 is about 2478.1864336647. The cubic root of 6141408 is about 183.1285191153.

The spelling of 6141408 in words is "six million, one hundred forty-one thousand, four hundred eight".