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5402124 = 22327131797
BaseRepresentation
bin10100100110111000001100
3101011110022200
4110212320030
52340331444
6311441500
763626430
oct24467014
911143280
105402124
11305a772
121986290
131171b30
14a089c0
1571a969
hex526e0c

5402124 has 144 divisors (see below), whose sum is σ = 17978688. Its totient is φ = 1327104.

The previous prime is 5402123. The next prime is 5402129. The reversal of 5402124 is 4212045.

5402124 is a `hidden beast` number, since 540 + 2 + 124 = 666.

It is a super-2 number, since 2×54021242 = 58365887422752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5402097 and 5402106.

It is not an unprimeable number, because it can be changed into a prime (5402123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55644 + ... + 55740.

It is an arithmetic number, because the mean of its divisors is an integer number (124852).

Almost surely, 25402124 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 5402124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989344).

5402124 is an abundant number, since it is smaller than the sum of its proper divisors (12576564).

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

5402124 is a wasteful number, since it uses less digits than its factorization.

5402124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5402124 is about 2324.2469748286. The cubic root of 5402124 is about 175.4640635505.

Adding to 5402124 its reverse (4212045), we get a palindrome (9614169).

It can be divided in two parts, 54021 and 24, that added together give a palindrome (54045).

The spelling of 5402124 in words is "five million, four hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 97 102 117 119 126 153 156 182 194 204 221 234 238 252 273 291 306 357 364 388 442 468 476 546 582 612 663 679 714 819 873 884 1071 1092 1164 1261 1326 1358 1428 1547 1638 1649 1746 1989 2037 2142 2522 2652 2716 3094 3276 3298 3492 3783 3978 4074 4284 4641 4947 5044 6111 6188 6596 7566 7956 8148 8827 9282 9894 11349 11543 12222 13923 14841 15132 17654 18564 19788 21437 22698 23086 24444 26481 27846 29682 34629 35308 42874 45396 46172 52962 55692 59364 64311 69258 79443 85748 103887 105924 128622 138516 150059 158886 192933 207774 257244 300118 317772 385866 415548 450177 600236 771732 900354 1350531 1800708 2701062 5402124