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726013134 = 2327111513469
BaseRepresentation
bin101011010001100…
…001010011001110
31212121010021210100
4223101201103032
52441324410014
6200012551530
723664003240
oct5321412316
91777107710
10726013134
113428a7460
121831825a6
13b7549792
146c5ca090
1543b10009
hex2b4614ce

726013134 has 96 divisors (see below), whose sum is σ = 1974735360. Its totient is φ = 187272000.

The previous prime is 726013121. The next prime is 726013157. The reversal of 726013134 is 431310627.

It is a junction number, because it is equal to n+sod(n) for n = 726013098 and 726013107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207552 + ... + 211020.

It is an arithmetic number, because the mean of its divisors is an integer number (20570160).

Almost surely, 2726013134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726013134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987367680).

726013134 is an abundant number, since it is smaller than the sum of its proper divisors (1248722226).

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

726013134 is a wasteful number, since it uses less digits than its factorization.

726013134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 726013134 is about 26944.6308937421. The cubic root of 726013134 is about 898.7691544926.

The spelling of 726013134 in words is "seven hundred twenty-six million, thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 151 154 198 231 302 453 462 693 906 1057 1359 1386 1661 2114 2718 3171 3322 3469 4983 6342 6938 9513 9966 10407 11627 14949 19026 20814 23254 24283 29898 31221 34881 38159 48566 62442 69762 72849 76318 104643 114477 145698 209286 218547 228954 267113 343431 437094 523819 534226 686862 801339 1047638 1571457 1602678 2404017 3142914 3666733 4714371 4808034 5762009 7333466 9428742 11000199 11524018 17286027 22000398 33000597 34572054 40334063 51858081 66001194 80668126 103716162 121002189 242004378 363006567 726013134