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9742040 = 2357113163
BaseRepresentation
bin100101001010…
…011011011000
3200022221120022
4211022123120
54443221130
6544450012
7145543310
oct45123330
920287508
109742040
115554380
123319908
132031329
141418440
15cc67e5
hex94a6d8

9742040 has 64 divisors (see below), whose sum is σ = 27336960. Its totient is φ = 3035520.

The previous prime is 9742027. The next prime is 9742097. The reversal of 9742040 is 402479.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1499 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (427140).

Almost surely, 29742040 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 9742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668480).

9742040 is an abundant number, since it is smaller than the sum of its proper divisors (17594920).

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

9742040 is a wasteful number, since it uses less digits than its factorization.

9742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 9742040 is about 3121.2241188354. The cubic root of 9742040 is about 213.5747808836.

The spelling of 9742040 in words is "nine million, seven hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3163 6326 12652 15815 22141 25304 31630 34793 44282 63260 69586 88564 110705 126520 139172 173965 177128 221410 243551 278344 347930 442820 487102 695860 885640 974204 1217755 1391720 1948408 2435510 4871020 9742040