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5721120 = 2532529137
BaseRepresentation
bin10101110100110000100000
3101202122220100
4111310300200
52431033440
6322342400
766425436
oct25646040
911678810
105721120
1132583a9
121abaa00
1312540a2
14a8cd56
15780230
hex574c20

5721120 has 144 divisors (see below), whose sum is σ = 20343960. Its totient is φ = 1462272.

The previous prime is 5721119. The next prime is 5721127. The reversal of 5721120 is 211275.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 898704 = 2196^2 + 948^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 5721093 and 5721102.

It is not an unprimeable number, because it can be changed into a prime (5721127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41692 + ... + 41828.

Almost surely, 25721120 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 5721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171980).

5721120 is an abundant number, since it is smaller than the sum of its proper divisors (14622840).

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

5721120 is a wasteful number, since it uses less digits than its factorization.

5721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 5721120 is about 2391.8862849224. The cubic root of 5721120 is about 178.8519525322.

Adding to 5721120 its reverse (211275), we get a palindrome (5932395).

The spelling of 5721120 in words is "five million, seven hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 137 144 145 160 174 180 232 240 261 274 288 290 348 360 411 435 464 480 522 548 580 685 696 720 822 870 928 1044 1096 1160 1233 1305 1370 1392 1440 1644 1740 2055 2088 2192 2320 2466 2610 2740 2784 3288 3480 3973 4110 4176 4384 4640 4932 5220 5480 6165 6576 6960 7946 8220 8352 9864 10440 10960 11919 12330 13152 13920 15892 16440 19728 19865 20880 21920 23838 24660 31784 32880 35757 39456 39730 41760 47676 49320 59595 63568 65760 71514 79460 95352 98640 119190 127136 143028 158920 178785 190704 197280 238380 286056 317840 357570 381408 476760 572112 635680 715140 953520 1144224 1430280 1907040 2860560 5721120