Search a number
-
+
52140300 = 223521511151
BaseRepresentation
bin1100011011100…
…1100100001100
310122010000001020
43012321210030
5101321442200
65101314140
71202120352
oct306714414
9118100036
1052140300
1127482863
1215565950
13aa57664
146cd37d2
15489dea0
hex31b990c

52140300 has 72 divisors (see below), whose sum is σ = 151990272. Its totient is φ = 13800000.

The previous prime is 52140293. The next prime is 52140317. The reversal of 52140300 is 304125.

It is a super-2 number, since 2×521403002 = 5437221768180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52140300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44725 + ... + 45875.

It is an arithmetic number, because the mean of its divisors is an integer number (2110976).

Almost surely, 252140300 is an apocalyptic number.

52140300 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 52140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

52140300 is an abundant number, since it is smaller than the sum of its proper divisors (99849972).

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

52140300 is a wasteful number, since it uses less digits than its factorization.

52140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52140300 is about 7220.8240526965. The cubic root of 52140300 is about 373.5865009711.

Adding to 52140300 its reverse (304125), we get a palindrome (52444425).

The spelling of 52140300 in words is "fifty-two million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1151 1510 1812 2265 2302 3020 3453 3775 4530 4604 5755 6906 7550 9060 11325 11510 13812 15100 17265 22650 23020 28775 34530 45300 57550 69060 86325 115100 172650 173801 345300 347602 521403 695204 869005 1042806 1738010 2085612 2607015 3476020 4345025 5214030 8690050 10428060 13035075 17380100 26070150 52140300