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5376672 = 253372127
BaseRepresentation
bin10100100000101010100000
3101010011102000
4110200222200
52334023142
6311124000
763462300
oct24405240
911104360
105376672
113042634
121973600
131163382
149dd600
1571314c
hex520aa0

5376672 has 144 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1524096.

The previous prime is 5376649. The next prime is 5376673. The reversal of 5376672 is 2766735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 55 + 313 + 72 + 6 + 68 + 74 + 221 .

It is not an unprimeable number, because it can be changed into a prime (5376673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42273 + ... + 42399.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 25376672 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 5376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5376672 is an abundant number, since it is smaller than the sum of its proper divisors (13009248).

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

5376672 is a wasteful number, since it uses less digits than its factorization.

5376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 5376672 is about 2318.7651886295. The cubic root of 5376672 is about 175.1880644900.

The spelling of 5376672 in words is "five million, three hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 127 144 147 168 189 196 216 224 252 254 288 294 336 378 381 392 432 441 504 508 588 672 756 762 784 864 882 889 1008 1016 1143 1176 1323 1512 1524 1568 1764 1778 2016 2032 2286 2352 2646 2667 3024 3048 3429 3528 3556 4064 4572 4704 5292 5334 6048 6096 6223 6858 7056 7112 8001 9144 10584 10668 12192 12446 13716 14112 14224 16002 18288 18669 21168 21336 24003 24892 27432 28448 32004 36576 37338 42336 42672 48006 49784 54864 56007 64008 74676 85344 96012 99568 109728 112014 128016 149352 168021 192024 199136 224028 256032 298704 336042 384048 448056 597408 672084 768096 896112 1344168 1792224 2688336 5376672