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9720424 = 2372137181
BaseRepresentation
bin100101000101…
…001001101000
3200021211220201
4211011021220
54442023144
6544201544
7145423300
oct45051150
920254821
109720424
11553a10a
1233092b4
13202453c
141410600
15cc01d4
hex945268

9720424 has 48 divisors (see below), whose sum is σ = 21474180. Its totient is φ = 4112640.

The previous prime is 9720407. The next prime is 9720433. The reversal of 9720424 is 4240279.

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 828100 = 2982^2 + 910^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 9720392 and 9720401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53614 + ... + 53794.

Almost surely, 29720424 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 9720424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737090).

9720424 is an abundant number, since it is smaller than the sum of its proper divisors (11753756).

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

9720424 is a wasteful number, since it uses less digits than its factorization.

9720424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 9720424 is about 3117.7594519141. The cubic root of 9720424 is about 213.4167013575.

The spelling of 9720424 in words is "nine million, seven hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 181 196 274 362 392 548 724 959 1096 1267 1448 1918 2534 3836 5068 6713 7672 8869 10136 13426 17738 24797 26852 35476 49594 53704 70952 99188 173579 198376 347158 694316 1215053 1388632 2430106 4860212 9720424