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5213627240 = 235413499109
BaseRepresentation
bin1001101101100000…
…11010001101101000
3111110100100201001012
410312300122031220
541134142032430
62221202043052
7243125046263
oct46660321550
914410321035
105213627240
112235a58348
121016049488
136511a7743
143765cdcda
15207aa3695
hex136c1a368

5213627240 has 64 divisors (see below), whose sum is σ = 12052530000. Its totient is φ = 2028533760.

The previous prime is 5213627231. The next prime is 5213627297. The reversal of 5213627240 is 427263125.

It can be written as a sum of positive squares in 8 ways, for example, as 556110724 + 4657516516 = 23582^2 + 68246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5213627197 and 5213627206.

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, 567806 + ... + 576914.

Almost surely, 25213627240 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 5213627240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026265000).

5213627240 is an abundant number, since it is smaller than the sum of its proper divisors (6838902760).

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

5213627240 is a wasteful number, since it uses less digits than its factorization.

5213627240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 5213627240 is about 72205.4515947376. The cubic root of 5213627240 is about 1733.9902813873.

The spelling of 5213627240 in words is "five billion, two hundred thirteen million, six hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 349 410 698 820 1396 1640 1745 2792 3490 6980 9109 13960 14309 18218 28618 36436 45545 57236 71545 72872 91090 114472 143090 182180 286180 364360 373469 572360 746938 1493876 1867345 2987752 3179041 3734690 6358082 7469380 12716164 14938760 15895205 25432328 31790410 63580820 127161640 130340681 260681362 521362724 651703405 1042725448 1303406810 2606813620 5213627240