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5361984 = 263329107
BaseRepresentation
bin10100011101000101000000
3101002102021000
4110131011000
52333040414
6310532000
763401415
oct24350500
911072230
105361984
1130325a1
121967000
131159794
149d810c
1570db09
hex51d140

5361984 has 112 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 1709568.

The previous prime is 5361973. The next prime is 5361997. The reversal of 5361984 is 4891635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50059 + ... + 50165.

Almost surely, 25361984 is an apocalyptic number.

5361984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).

5361984 is an abundant number, since it is smaller than the sum of its proper divisors (11097216).

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

5361984 is a wasteful number, since it uses less digits than its factorization.

5361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5361984 is about 2315.5958196542. The cubic root of 5361984 is about 175.0283926721.

The spelling of 5361984 in words is "five million, three hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 107 108 116 144 174 192 214 216 232 261 288 321 348 428 432 464 522 576 642 696 783 856 864 928 963 1044 1284 1392 1566 1712 1728 1856 1926 2088 2568 2784 2889 3103 3132 3424 3852 4176 5136 5568 5778 6206 6264 6848 7704 8352 9309 10272 11556 12412 12528 15408 16704 18618 20544 23112 24824 25056 27927 30816 37236 46224 49648 50112 55854 61632 74472 83781 92448 99296 111708 148944 167562 184896 198592 223416 297888 335124 446832 595776 670248 893664 1340496 1787328 2680992 5361984