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5384016 = 2433112103
BaseRepresentation
bin10100100010011101010000
3101010112111000
4110202131100
52334242031
6311222000
763522561
oct24423520
911115430
105384016
113048100
121977900
131166811
14a02168
157153e6
hex522750

5384016 has 120 divisors (see below), whose sum is σ = 17151680. Its totient is φ = 1615680.

The previous prime is 5384003. The next prime is 5384017. The reversal of 5384016 is 6104835.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52221 + ... + 52323.

Almost surely, 25384016 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 5384016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575840).

5384016 is an abundant number, since it is smaller than the sum of its proper divisors (11767664).

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

5384016 is a wasteful number, since it uses less digits than its factorization.

5384016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5384016 is about 2320.3482497246. The cubic root of 5384016 is about 175.2677913674.

It can be divided in two parts, 538 and 4016, that added together give a palindrome (4554).

The spelling of 5384016 in words is "five million, three hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 103 108 121 132 144 176 198 206 216 242 264 297 309 363 396 412 432 484 528 594 618 726 792 824 927 968 1089 1133 1188 1236 1452 1584 1648 1854 1936 2178 2266 2376 2472 2781 2904 3267 3399 3708 4356 4532 4752 4944 5562 5808 6534 6798 7416 8712 9064 10197 11124 12463 13068 13596 14832 17424 18128 20394 22248 24926 26136 27192 30591 37389 40788 44496 49852 52272 54384 61182 74778 81576 99704 112167 122364 149556 163152 199408 224334 244728 299112 336501 448668 489456 598224 673002 897336 1346004 1794672 2692008 5384016