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5869416 = 233732331
BaseRepresentation
bin10110011000111101101000
3102001012022210
4112120331220
53000310131
6325445120
7100614000
oct26307550
912035283
105869416
113349863
121b707a0
1312a6737
14acb000
157ae146
hex598f68

5869416 has 128 divisors (see below), whose sum is σ = 18432000. Its totient is φ = 1552320.

The previous prime is 5869411. The next prime is 5869417. The reversal of 5869416 is 6149685.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5869411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189321 + ... + 189351.

It is an arithmetic number, because the mean of its divisors is an integer number (144000).

Almost surely, 25869416 is an apocalyptic number.

5869416 is a gapful number since it is divisible by the number (56) 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 5869416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216000).

5869416 is an abundant number, since it is smaller than the sum of its proper divisors (12562584).

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

5869416 is a wasteful number, since it uses less digits than its factorization.

5869416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 5869416 is about 2422.6877636212. The cubic root of 5869416 is about 180.3841179850.

The spelling of 5869416 in words is "five million, eight hundred sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 49 56 62 69 84 92 93 98 124 138 147 161 168 184 186 196 217 248 276 294 322 343 372 392 434 483 552 588 644 651 686 713 744 868 966 1029 1127 1176 1288 1302 1372 1426 1519 1736 1932 2058 2139 2254 2604 2744 2852 3038 3381 3864 4116 4278 4508 4557 4991 5208 5704 6076 6762 7889 8232 8556 9016 9114 9982 10633 12152 13524 14973 15778 17112 18228 19964 21266 23667 27048 29946 31556 31899 34937 36456 39928 42532 47334 59892 63112 63798 69874 85064 94668 104811 119784 127596 139748 189336 209622 244559 255192 279496 419244 489118 733677 838488 978236 1467354 1956472 2934708 5869416