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942084 = 2233111361
BaseRepresentation
bin11100110000000000100
31202212022000
43212000010
5220121314
632105300
711002413
oct3460004
91685260
10942084
11593890
12395230
1326ca60
141a747a
15139209
hexe6004

942084 has 96 divisors (see below), whose sum is σ = 2916480. Its totient is φ = 259200.

The previous prime is 942079. The next prime is 942091. The reversal of 942084 is 480249.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 942084.

It is an unprimeable number.

942084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15414 + ... + 15474.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2942084 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 942084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240).

942084 is an abundant number, since it is smaller than the sum of its proper divisors (1974396).

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

942084 is a wasteful number, since it uses less digits than its factorization.

942084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 942084 is about 970.6101174004. The cubic root of 942084 is about 98.0309495472.

The spelling of 942084 in words is "nine hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 61 66 78 99 108 117 122 132 143 156 183 198 234 244 286 297 351 366 396 429 468 549 572 594 671 702 732 793 858 1098 1188 1287 1342 1404 1586 1647 1716 2013 2196 2379 2574 2684 3172 3294 3861 4026 4758 5148 6039 6588 7137 7722 8052 8723 9516 12078 14274 15444 17446 18117 21411 24156 26169 28548 34892 36234 42822 52338 72468 78507 85644 104676 157014 235521 314028 471042 942084