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9930141 = 3313191489
BaseRepresentation
bin100101111000…
…010110011101
3200200111121000
4211320112131
510020231031
6552500513
7150255564
oct45702635
920614530
109930141
115672731
1233aa739
132098b30
141466bdb
15d123e6
hex97859d

9930141 has 32 divisors (see below), whose sum is σ = 16688000. Its totient is φ = 5785344.

The previous prime is 9930139. The next prime is 9930143. The reversal of 9930141 is 1410399.

It is an interprime number because it is at equal distance from previous prime (9930139) and next prime (9930143).

It is not a de Polignac number, because 9930141 - 21 = 9930139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5925 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (521500).

Almost surely, 29930141 is an apocalyptic number.

It is an amenable number.

9930141 is a deficient number, since it is larger than the sum of its proper divisors (6757859).

9930141 is a wasteful number, since it uses less digits than its factorization.

9930141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9930141 is about 3151.2126237371. The cubic root of 9930141 is about 214.9406073552.

The spelling of 9930141 in words is "nine million, nine hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 1489 2223 4467 6669 13401 19357 28291 40203 58071 84873 174213 254619 367783 522639 763857 1103349 3310047 9930141