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5135440300 = 2252532933307
BaseRepresentation
bin1001100100001100…
…01001100110101100
3111020220020101201121
410302012021212230
541004133042200
62205330150324
7241155344104
oct46206114654
914226211647
105135440300
1121a5905341
12bb3a223a4
1363ac30693
1436a07a204
15200cabe1a
hex1321899ac

5135440300 has 72 divisors (see below), whose sum is σ = 11396364336. Its totient is φ = 2007932160.

The previous prime is 5135440273. The next prime is 5135440301. The reversal of 5135440300 is 30445315.

5135440300 = T489 + T490 + ... + T3138.

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 (5135440301) 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, 1551247 + ... + 1554553.

It is an arithmetic number, because the mean of its divisors is an integer number (158282838).

Almost surely, 25135440300 is an apocalyptic number.

5135440300 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 5135440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698182168).

5135440300 is an abundant number, since it is smaller than the sum of its proper divisors (6260924036).

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

5135440300 is a wasteful number, since it uses less digits than its factorization.

5135440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5135440300 is about 71661.9864363248. The cubic root of 5135440300 is about 1725.2785715480.

Adding to 5135440300 its reverse (30445315), we get a palindrome (5165885615).

The spelling of 5135440300 in words is "five billion, one hundred thirty-five million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 293 530 586 1060 1172 1325 1465 2650 2930 3307 5300 5860 6614 7325 13228 14650 15529 16535 29300 31058 33070 62116 66140 77645 82675 155290 165350 175271 310580 330700 350542 388225 701084 776450 876355 968951 1552900 1752710 1937902 3505420 3875804 4381775 4844755 8763550 9689510 17527100 19379020 24223775 48447550 51354403 96895100 102708806 205417612 256772015 513544030 1027088060 1283860075 2567720150 5135440300