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9728420 = 22513173171
BaseRepresentation
bin100101000111…
…000110100100
3200022020212212
4211013012210
54442302140
6544302552
7145455512
oct45070644
920266785
109728420
115545119
123311a58
132028080
1414134b2
15cc2765
hex9471a4

9728420 has 96 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 3225600.

The previous prime is 9728419. The next prime is 9728423. The reversal of 9728420 is 248279.

9728420 = T79 + T80 + ... + T388.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136985 + ... + 137055.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 29728420 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 9728420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

9728420 is an abundant number, since it is smaller than the sum of its proper divisors (14657116).

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

9728420 is a wasteful number, since it uses less digits than its factorization.

9728420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 9728420 is about 3119.0415194415. The cubic root of 9728420 is about 213.4752040265.

The spelling of 9728420 in words is "nine million, seven hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 62 65 68 71 85 124 130 142 155 170 221 260 284 310 340 355 403 442 527 620 710 806 884 923 1054 1105 1207 1420 1612 1846 2015 2108 2201 2210 2414 2635 3692 4030 4402 4420 4615 4828 5270 6035 6851 8060 8804 9230 10540 11005 12070 13702 15691 18460 22010 24140 27404 28613 31382 34255 37417 44020 57226 62764 68510 74834 78455 114452 137020 143065 149668 156910 187085 286130 313820 374170 486421 572260 748340 972842 1945684 2432105 4864210 9728420