Search a number
-
+
100340240 = 245721113179
BaseRepresentation
bin1011111101100…
…01001000010000
320222210210221012
411332301020100
5201141341430
613542350052
72325610100
oct576611020
9228723835
10100340240
1151704120
122972b328
1317a32630
14d47d200
158c20695
hex5fb1210

100340240 has 240 divisors, whose sum is σ = 320604480. Its totient is φ = 28707840.

The previous prime is 100340153. The next prime is 100340249. The reversal of 100340240 is 42043001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100340249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560471 + ... + 560649.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2100340240 is an apocalyptic number.

100340240 is a gapful number since it is divisible by the number (10) 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 100340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

100340240 is an abundant number, since it is smaller than the sum of its proper divisors (220264240).

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

100340240 is a wasteful number, since it uses less digits than its factorization.

100340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100340240 is about 10016.9975541576. The cubic root of 100340240 is about 464.6847055206.

Adding to 100340240 its reverse (42043001), we get a palindrome (142383241).

The spelling of 100340240 in words is "one hundred million, three hundred forty thousand, two hundred forty".