Search a number
-
+
101004480 = 26325172063
BaseRepresentation
bin1100000010100…
…11010011000000
321001001120002200
412001103103000
5201324120410
614004513200
72334344463
oct601232300
9231046080
10101004480
1152018185
12299ab800
1317c05a85
14d5b32da
158d023c0
hex60534c0

101004480 has 168 divisors, whose sum is σ = 368027712. Its totient is φ = 25337856.

The previous prime is 101004473. The next prime is 101004481. The reversal of 101004480 is 84400101.

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 (101004481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47929 + ... + 49991.

Almost surely, 2101004480 is an apocalyptic number.

101004480 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 101004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013856).

101004480 is an abundant number, since it is smaller than the sum of its proper divisors (267023232).

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

101004480 is a wasteful number, since it uses less digits than its factorization.

101004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101004480 is about 10050.0985069799. The cubic root of 101004480 is about 465.7078362900.

Adding to 101004480 its reverse (84400101), we get a palindrome (185404581).

The spelling of 101004480 in words is "one hundred one million, four thousand, four hundred eighty".