Search a number
-
+
5370572100 = 2235277323159
BaseRepresentation
bin1010000000001110…
…00110110101000100
3111212021200022220210
411000013012311010
541444331301400
62244525555420
7250042052415
oct50007066504
914767608823
105370572100
112306603343
12105a715b70
1367786871a
1438d3a580c
15216755950
hex1401c6d44

5370572100 has 72 divisors (see below), whose sum is σ = 15559629120. Its totient is φ = 1430238080.

The previous prime is 5370572093. The next prime is 5370572101. The reversal of 5370572100 is 12750735.

It is a super-3 number, since 3×53705721003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5370572101) 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, 220321 + ... + 243479.

It is an arithmetic number, because the mean of its divisors is an integer number (216105960).

Almost surely, 25370572100 is an apocalyptic number.

5370572100 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 5370572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779814560).

5370572100 is an abundant number, since it is smaller than the sum of its proper divisors (10189057020).

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

5370572100 is a wasteful number, since it uses less digits than its factorization.

5370572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23949 (or 23942 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 5370572100 is about 73284.1872439069. The cubic root of 5370572100 is about 1751.2178842093.

The spelling of 5370572100 in words is "five billion, three hundred seventy million, five hundred seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 773 1546 2319 3092 3865 4638 7730 9276 11595 15460 19325 23159 23190 38650 46318 46380 57975 69477 77300 92636 115795 115950 138954 231590 231900 277908 347385 463180 578975 694770 1157950 1389540 1736925 2315900 3473850 6947700 17901907 35803814 53705721 71607628 89509535 107411442 179019070 214822884 268528605 358038140 447547675 537057210 895095350 1074114420 1342643025 1790190700 2685286050 5370572100