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5340192 = 2531113389
BaseRepresentation
bin10100010111110000100000
3101001022100220
4110113300200
52331341232
6310243040
763251034
oct24276040
911038326
105340192
113018190
121956480
13114c8a0
149d01c4
1570742c
hex517c20

5340192 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1489920.

The previous prime is 5340191. The next prime is 5340221. The reversal of 5340192 is 2910435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13534 + ... + 13922.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 25340192 is an apocalyptic number.

5340192 is a gapful number since it is divisible by the number (52) 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 5340192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5340192 is an abundant number, since it is smaller than the sum of its proper divisors (11170848).

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

5340192 is a wasteful number, since it uses less digits than its factorization.

5340192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5340192 is about 2310.8855445478. The cubic root of 5340192 is about 174.7909558304.

The spelling of 5340192 in words is "five million, three hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 389 416 429 528 572 624 778 858 1056 1144 1167 1248 1556 1716 2288 2334 3112 3432 4279 4576 4668 5057 6224 6864 8558 9336 10114 12448 12837 13728 15171 17116 18672 20228 25674 30342 34232 37344 40456 51348 55627 60684 68464 80912 102696 111254 121368 136928 161824 166881 205392 222508 242736 333762 410784 445016 485472 667524 890032 1335048 1780064 2670096 5340192