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722768040 = 2332510871847
BaseRepresentation
bin101011000101001…
…001000010101000
31212101000102100200
4223011021002220
52440012034130
6155415232200
723624266311
oct5305110250
91771012320
10722768040
11340a90365
12182078660
13b69816c7
146bdc3608
15436bd760
hex2b1490a8

722768040 has 96 divisors (see below), whose sum is σ = 2352430080. Its totient is φ = 192456576.

The previous prime is 722768029. The next prime is 722768041. The reversal of 722768040 is 40867227.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 722767986 and 722768004.

It is not an unprimeable number, because it can be changed into a prime (722768041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390397 + ... + 392243.

It is an arithmetic number, because the mean of its divisors is an integer number (24504480).

Almost surely, 2722768040 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 722768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

722768040 is an abundant number, since it is smaller than the sum of its proper divisors (1629662040).

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

722768040 is a wasteful number, since it uses less digits than its factorization.

722768040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 722768040 is about 26884.3456308685. The cubic root of 722768040 is about 897.4280645733.

The spelling of 722768040 in words is "seven hundred twenty-two million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1087 1847 2174 3261 3694 4348 5435 5541 6522 7388 8696 9235 9783 10870 11082 13044 14776 16305 16623 18470 19566 21740 22164 26088 27705 32610 33246 36940 39132 43480 44328 48915 55410 65220 66492 73880 78264 83115 97830 110820 130440 132984 166230 195660 221640 332460 391320 664920 2007689 4015378 6023067 8030756 10038445 12046134 16061512 18069201 20076890 24092268 30115335 36138402 40153780 48184536 60230670 72276804 80307560 90346005 120461340 144553608 180692010 240922680 361384020 722768040