Search a number
-
+
5370720 = 253567167
BaseRepresentation
bin10100011111001101100000
3101002212020120
4110133031200
52333330340
6311040240
763436035
oct24371540
911085216
105370720
113039113
121970080
131160754
149db38c
157114d0
hex51f360

5370720 has 96 divisors (see below), whose sum is σ = 17273088. Its totient is φ = 1402368.

The previous prime is 5370689. The next prime is 5370721. The reversal of 5370720 is 270735.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32077 + ... + 32243.

It is an arithmetic number, because the mean of its divisors is an integer number (179928).

Almost surely, 25370720 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 5370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636544).

5370720 is an abundant number, since it is smaller than the sum of its proper divisors (11902368).

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

5370720 is a wasteful number, since it uses less digits than its factorization.

5370720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 5370720 is about 2317.4813915111. The cubic root of 5370720 is about 175.1233959638.

The spelling of 5370720 in words is "five million, three hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 167 201 240 268 334 335 402 480 501 536 668 670 804 835 1002 1005 1072 1336 1340 1608 1670 2004 2010 2144 2505 2672 2680 3216 3340 4008 4020 5010 5344 5360 6432 6680 8016 8040 10020 10720 11189 13360 16032 16080 20040 22378 26720 32160 33567 40080 44756 55945 67134 80160 89512 111890 134268 167835 179024 223780 268536 335670 358048 447560 537072 671340 895120 1074144 1342680 1790240 2685360 5370720