Search a number
-
+
100544740 = 22529229757
BaseRepresentation
bin1011111111000…
…11000011100100
321000012012110021
411333203003210
5201214412430
613551004524
72330421232
oct577430344
9230165407
10100544740
115183382a
1229809744
1317aa473a
14d4d3952
158c6107a
hex5fe30e4

100544740 has 48 divisors (see below), whose sum is σ = 219668400. Its totient is φ = 38610432.

The previous prime is 100544729. The next prime is 100544747. The reversal of 100544740 is 47445001.

It can be written as a sum of positive squares in 8 ways, for example, as 6687396 + 93857344 = 2586^2 + 9688^2 .

It is not an unprimeable number, because it can be changed into a prime (100544747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132442 + ... + 133198.

It is an arithmetic number, because the mean of its divisors is an integer number (4576425).

Almost surely, 2100544740 is an apocalyptic number.

100544740 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 100544740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109834200).

100544740 is an abundant number, since it is smaller than the sum of its proper divisors (119123660).

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

100544740 is a wasteful number, since it uses less digits than its factorization.

100544740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 100544740 is about 10027.2000079783. The cubic root of 100544740 is about 465.0001772844. Note that the first 3 decimals are identical.

Adding to 100544740 its reverse (47445001), we get a palindrome (147989741).

The spelling of 100544740 in words is "one hundred million, five hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 229 290 458 580 757 916 1145 1514 2290 3028 3785 4580 6641 7570 13282 15140 21953 26564 33205 43906 66410 87812 109765 132820 173353 219530 346706 439060 693412 866765 1733530 3467060 5027237 10054474 20108948 25136185 50272370 100544740