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726228990 = 23457011279
BaseRepresentation
bin101011010010010…
…101111111111110
31212121112020220000
4223102111333332
52441403311430
6200021335130
723665562454
oct5322257776
91777466800
10726228990
11342a34653
121832674a6
13b75c3ac6
146c6449d4
1543b53e60
hex2b495ffe

726228990 has 80 divisors (see below), whose sum is σ = 1957063680. Its totient is φ = 193233600.

The previous prime is 726228977. The next prime is 726229003. The reversal of 726228990 is 99822627.

It is an interprime number because it is at equal distance from previous prime (726228977) and next prime (726229003).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567171 + ... + 568449.

It is an arithmetic number, because the mean of its divisors is an integer number (24463296).

Almost surely, 2726228990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726228990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978531840).

726228990 is an abundant number, since it is smaller than the sum of its proper divisors (1230834690).

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

726228990 is a wasteful number, since it uses less digits than its factorization.

726228990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 726228990 is about 26948.6361435973. The cubic root of 726228990 is about 898.8582187632.

The spelling of 726228990 in words is "seven hundred twenty-six million, two hundred twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 701 810 1279 1402 2103 2558 3505 3837 4206 6309 6395 7010 7674 10515 11511 12618 12790 18927 19185 21030 23022 31545 34533 37854 38370 56781 57555 63090 69066 94635 103599 113562 115110 172665 189270 207198 283905 345330 517995 567810 896579 1035990 1793158 2689737 4482895 5379474 8069211 8965790 13448685 16138422 24207633 26897370 40346055 48415266 72622899 80692110 121038165 145245798 242076330 363114495 726228990