Search a number
-
+
5372520100 = 2252316128411
BaseRepresentation
bin1010000000011101…
…00010011010100100
3111212102100022001221
411000032202122210
542000331120400
62245035430124
7250064444623
oct50016423244
914772308057
105372520100
112307713962
12105b2b5344
1367809b29c
1438d7516ba
152169dcc1a
hex1403a26a4

5372520100 has 72 divisors (see below), whose sum is σ = 12232161536. Its totient is φ = 2045520000.

The previous prime is 5372520073. The next prime is 5372520103. The reversal of 5372520100 is 10252735.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5372520103) 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, 174895 + ... + 203305.

Almost surely, 25372520100 is an apocalyptic number.

5372520100 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 5372520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116080768).

5372520100 is an abundant number, since it is smaller than the sum of its proper divisors (6859641436).

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

5372520100 is a wasteful number, since it uses less digits than its factorization.

5372520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28517 (or 28510 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5372520100 is about 73297.4767642106. The cubic root of 5372520100 is about 1751.4295910197.

Adding to 5372520100 its reverse (10252735), we get a palindrome (5382772835).

The spelling of 5372520100 in words is "five billion, three hundred seventy-two million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 775 1220 1525 1550 1891 3050 3100 3782 6100 7564 9455 18910 28411 37820 47275 56822 94550 113644 142055 189100 284110 568220 710275 880741 1420550 1733071 1761482 2841100 3466142 3522964 4403705 6932284 8665355 8807410 17330710 17614820 22018525 34661420 43326775 44037050 53725201 86653550 88074100 107450402 173307100 214900804 268626005 537252010 1074504020 1343130025 2686260050 5372520100