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9013420728 = 23321315163773
BaseRepresentation
bin10000110010011110…
…11110001010111000
3212021011100012210100
420121033132022320
5121424413430403
64050220515400
7436234545354
oct103117361270
925234305710
109013420728
113905928444
1218b66abb60
13b0849bb60
1461710a464
1537b47d2a3
hex2193de2b8

9013420728 has 96 divisors (see below), whose sum is σ = 26463659040. Its totient is φ = 2754950400.

The previous prime is 9013420727. The next prime is 9013420769. The reversal of 9013420728 is 8270243109.

9013420728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 9013420692 and 9013420701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9013420727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109450 + ... + 173222.

It is an arithmetic number, because the mean of its divisors is an integer number (275663115).

Almost surely, 29013420728 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 9013420728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231829520).

9013420728 is an abundant number, since it is smaller than the sum of its proper divisors (17450238312).

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

9013420728 is a wasteful number, since it uses less digits than its factorization.

9013420728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63949 (or 63942 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9013420728 is about 94939.0369026356. The cubic root of 9013420728 is about 2081.1172443309.

The spelling of 9013420728 in words is "nine billion, thirteen million, four hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 151 156 234 302 312 453 468 604 906 936 1208 1359 1812 1963 2718 3624 3926 5436 5889 7852 10872 11778 15704 17667 23556 35334 47112 63773 70668 127546 141336 191319 255092 382638 510184 573957 765276 829049 1147914 1530552 1658098 2295828 2487147 3316196 4591656 4974294 6632392 7461441 9629723 9948588 14922882 19259446 19897176 28889169 29845764 38518892 57778338 59691528 77037784 86667507 115556676 125186399 173335014 231113352 250372798 346670028 375559197 500745596 693340056 751118394 1001491192 1126677591 1502236788 2253355182 3004473576 4506710364 9013420728