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5213415040 = 27510379087
BaseRepresentation
bin1001101101011111…
…00110011010000000
3111110022221220221221
410312233212122000
541134113240130
62221153324424
7243123203521
oct46657463200
914408856857
105213415040
112235922979
121015b66714
13651131c92
14376576848
15207a6087a
hex136be6680

5213415040 has 64 divisors (see below), whose sum is σ = 12584482560. Its totient is φ = 2065093632.

The previous prime is 5213415023. The next prime is 5213415079. The reversal of 5213415040 is 405143125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5213414996 and 5213415014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26377 + ... + 105463.

It is an arithmetic number, because the mean of its divisors is an integer number (196632540).

Almost surely, 25213415040 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 5213415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292241280).

5213415040 is an abundant number, since it is smaller than the sum of its proper divisors (7371067520).

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

5213415040 is a wasteful number, since it uses less digits than its factorization.

5213415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79209 (or 79197 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5213415040 is about 72203.9821616509. The cubic root of 5213415040 is about 1733.9667560045.

Adding to 5213415040 its reverse (405143125), we get a palindrome (5618558165).

The spelling of 5213415040 in words is "five billion, two hundred thirteen million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 320 412 515 640 824 1030 1648 2060 3296 4120 6592 8240 13184 16480 32960 65920 79087 158174 316348 395435 632696 790870 1265392 1581740 2530784 3163480 5061568 6326960 8145961 10123136 12653920 16291922 25307840 32583844 40729805 50615680 65167688 81459610 130335376 162919220 260670752 325838440 521341504 651676880 1042683008 1303353760 2606707520 5213415040