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5490131400 = 23345213131199
BaseRepresentation
bin1010001110011110…
…01100000111001000
3112011121122120110000
411013033030013020
542220433201100
62304440323000
7253023226665
oct50717140710
915147576400
105490131400
112368043a86
121092773460
13696569b80
143a1208a6c
15221ec0900
hex1473cc1c8

5490131400 has 480 divisors, whose sum is σ = 20795544000. Its totient is φ = 1334361600.

The previous prime is 5490131399. The next prime is 5490131407. The reversal of 5490131400 is 41310945.

5490131400 is a `hidden beast` number, since 5 + 490 + 131 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5490131407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27588501 + ... + 27588699.

It is an arithmetic number, because the mean of its divisors is an integer number (43324050).

Almost surely, 25490131400 is an apocalyptic number.

5490131400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397772000).

5490131400 is an abundant number, since it is smaller than the sum of its proper divisors (15305412600).

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

5490131400 is a wasteful number, since it uses less digits than its factorization.

5490131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5490131400 is about 74095.4209111467. The cubic root of 5490131400 is about 1764.1177902741.

The spelling of 5490131400 in words is "five billion, four hundred ninety million, one hundred thirty-one thousand, four hundred".