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5300103440 = 2452322312917
BaseRepresentation
bin1001110111110100…
…10010100100010000
3111200101002011002102
410323322102210100
541323311302230
62233531335532
7245225064422
oct47372224420
914611064072
105300103440
11227a852185
12103abb15a8
136660947a8
14383ca0812
15210486045
hex13be92910

5300103440 has 80 divisors (see below), whose sum is σ = 12917173248. Its totient is φ = 2018615808.

The previous prime is 5300103433. The next prime is 5300103451. The reversal of 5300103440 is 443010035.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403862 + ... + 416778.

Almost surely, 25300103440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458586624).

5300103440 is an abundant number, since it is smaller than the sum of its proper divisors (7617069808).

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

5300103440 is a wasteful number, since it uses less digits than its factorization.

5300103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 13170 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5300103440 is about 72801.8093181756. The cubic root of 5300103440 is about 1743.5247438974.

Adding to 5300103440 its reverse (443010035), we get a palindrome (5743113475).

The spelling of 5300103440 in words is "five billion, three hundred million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 223 230 368 446 460 892 920 1115 1784 1840 2230 3568 4460 5129 8920 10258 12917 17840 20516 25645 25834 41032 51290 51668 64585 82064 102580 103336 129170 205160 206672 258340 297091 410320 516680 594182 1033360 1188364 1485455 2376728 2880491 2970910 4753456 5760982 5941820 11521964 11883640 14402455 23043928 23767280 28804910 46087856 57609820 66251293 115219640 132502586 230439280 265005172 331256465 530010344 662512930 1060020688 1325025860 2650051720 5300103440