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726240704 = 2678319531
BaseRepresentation
bin101011010010011…
…000110111000000
31212121112211221212
4223102120313000
52441404200304
6200021505252
723665641560
oct5322306700
91777484855
10726240704
11342a42432
12183272228
13b75c9237
146c648da0
1543b5766e
hex2b498dc0

726240704 has 56 divisors (see below), whose sum is σ = 1666939008. Its totient is φ = 307480320.

The previous prime is 726240703. The next prime is 726240721. The reversal of 726240704 is 407042627.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726240703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27419 + ... + 46949.

It is an arithmetic number, because the mean of its divisors is an integer number (29766768).

Almost surely, 2726240704 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 726240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833469504).

726240704 is an abundant number, since it is smaller than the sum of its proper divisors (940698304).

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

726240704 is a wasteful number, since it uses less digits than its factorization.

726240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19633 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 726240704 is about 26948.8534821057. The cubic root of 726240704 is about 898.8630515679.

The spelling of 726240704 in words is "seven hundred twenty-six million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 19531 37184 39062 78124 136717 156248 273434 312496 546868 624992 1093736 1249984 1621073 2187472 3242146 4374944 6484292 8749888 11347511 12968584 22695022 25937168 45390044 51874336 90780088 103748672 181560176 363120352 726240704