Search a number
-
+
534140100 = 2232521371643
BaseRepresentation
bin11111110101100…
…101010011000100
31101020002010110200
4133311211103010
52043214440400
6125000250500
716144054524
oct3765452304
91336063420
10534140100
112545653aa
1212aa70a30
1386879640
1450d21684
1531d5db00
hex1fd654c4

534140100 has 216 divisors, whose sum is σ = 1831257792. Its totient is φ = 129427200.

The previous prime is 534140071. The next prime is 534140107. The reversal of 534140100 is 1041435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (534140107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 830379 + ... + 831021.

Almost surely, 2534140100 is an apocalyptic number.

534140100 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 534140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915628896).

534140100 is an abundant number, since it is smaller than the sum of its proper divisors (1297117692).

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

534140100 is a wasteful number, since it uses less digits than its factorization.

534140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 534140100 is about 23111.4711777507. The cubic root of 534140100 is about 811.3689698845.

Adding to 534140100 its reverse (1041435), we get a palindrome (535181535).

The spelling of 534140100 in words is "five hundred thirty-four million, one hundred forty thousand, one hundred".