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9930942 = 2327269293
BaseRepresentation
bin100101111000…
…100010111110
3200200112200200
4211320202332
510020242232
6552504330
7150261120
oct45704276
920615620
109930942
11567329a
1233ab0a6
1320992c8
141467210
15d1277c
hex9788be

9930942 has 48 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 2817216.

The previous prime is 9930931. The next prime is 9930953. The reversal of 9930942 is 2490399.

It is an interprime number because it is at equal distance from previous prime (9930931) and next prime (9930953).

It is a junction number, because it is equal to n+sod(n) for n = 9930897 and 9930906.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33748 + ... + 34040.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 29930942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9930942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

9930942 is an abundant number, since it is smaller than the sum of its proper divisors (14835618).

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

9930942 is a wasteful number, since it uses less digits than its factorization.

9930942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9930942 is about 3151.3397151053. The cubic root of 9930942 is about 214.9463864875.

The spelling of 9930942 in words is "nine million, nine hundred thirty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 269 293 538 586 807 879 1614 1758 1883 2051 2421 2637 3766 4102 4842 5274 5649 6153 11298 12306 16947 18459 33894 36918 78817 157634 236451 472902 551719 709353 1103438 1418706 1655157 3310314 4965471 9930942