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2984124 = 22311133747
BaseRepresentation
bin1011011000100010111100
312121121110010
423120202330
51230442444
6143543220
734236033
oct13304274
95547403
102984124
111759020
12bbab10
13806370
1457971a
153de2b9
hex2d88bc

2984124 has 96 divisors (see below), whose sum is σ = 8580096. Its totient is φ = 794880.

The previous prime is 2984117. The next prime is 2984131. The reversal of 2984124 is 4214892.

2984124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2984117) and next prime (2984131).

It is a junction number, because it is equal to n+sod(n) for n = 2984091 and 2984100.

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 31 ways as a sum of consecutive naturals, for example, 63469 + ... + 63515.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

22984124 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 2984124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048).

2984124 is an abundant number, since it is smaller than the sum of its proper divisors (5595972).

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

2984124 is a wasteful number, since it uses less digits than its factorization.

2984124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2984124 is about 1727.4617217177. The cubic root of 2984124 is about 143.9700940982.

The spelling of 2984124 in words is "two million, nine hundred eighty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 47 52 66 74 78 94 111 132 141 143 148 156 188 222 282 286 407 429 444 481 517 564 572 611 814 858 962 1034 1221 1222 1443 1551 1628 1716 1739 1833 1924 2068 2442 2444 2886 3102 3478 3666 4884 5217 5291 5772 6204 6721 6956 7332 10434 10582 13442 15873 19129 20163 20868 21164 22607 26884 31746 38258 40326 45214 57387 63492 67821 76516 80652 90428 114774 135642 229548 248677 271284 497354 746031 994708 1492062 2984124