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9728040 = 2335737313
BaseRepresentation
bin100101000111…
…000000101000
3200022020100210
4211013000220
54442244130
6544301120
7145454430
oct45070050
920266323
109728040
115544903
1233117a0
132027b4a
1414132c0
15cc25b0
hex947028

9728040 has 128 divisors (see below), whose sum is σ = 34364160. Its totient is φ = 2156544.

The previous prime is 9728039. The next prime is 9728051. The reversal of 9728040 is 408279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9727989 and 9728007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30924 + ... + 31236.

It is an arithmetic number, because the mean of its divisors is an integer number (268470).

Almost surely, 29728040 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 9728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182080).

9728040 is an abundant number, since it is smaller than the sum of its proper divisors (24636120).

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

9728040 is a wasteful number, since it uses less digits than its factorization.

9728040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9728040 is about 3118.9806026970. The cubic root of 9728040 is about 213.4724244853.

The spelling of 9728040 in words is "nine million, seven hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 313 370 420 444 518 555 626 740 777 840 888 939 1036 1110 1252 1295 1480 1554 1565 1878 2072 2191 2220 2504 2590 3108 3130 3756 3885 4382 4440 4695 5180 6216 6260 6573 7512 7770 8764 9390 10360 10955 11581 12520 13146 15540 17528 18780 21910 23162 26292 31080 32865 34743 37560 43820 46324 52584 57905 65730 69486 81067 87640 92648 115810 131460 138972 162134 173715 231620 243201 262920 277944 324268 347430 405335 463240 486402 648536 694860 810670 972804 1216005 1389720 1621340 1945608 2432010 3242680 4864020 9728040