Search a number
-
+
5458660720 = 2452910192309
BaseRepresentation
bin1010001010101110…
…01000110101110000
3112002102102200210021
411011113020311300
542134404120340
62301354013224
7252161564512
oct50527106560
915072380707
105458660720
1123512a9657
121084117214
1368cb9b676
1439ad75bb2
1521e355e4a
hex1455c8d70

5458660720 has 80 divisors (see below), whose sum is σ = 13147596000. Its totient is φ = 2105191424.

The previous prime is 5458660717. The next prime is 5458660723. The reversal of 5458660720 is 270668545.

It is an interprime number because it is at equal distance from previous prime (5458660717) and next prime (5458660723).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458660723) 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, 2362926 + ... + 2365234.

It is an arithmetic number, because the mean of its divisors is an integer number (164344950).

Almost surely, 25458660720 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 5458660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573798000).

5458660720 is an abundant number, since it is smaller than the sum of its proper divisors (7688935280).

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

5458660720 is a wasteful number, since it uses less digits than its factorization.

5458660720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 5458660720 is about 73882.7498134713. The cubic root of 5458660720 is about 1760.7405544004.

The spelling of 5458660720 in words is "five billion, four hundred fifty-eight million, six hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1019 1160 2038 2309 2320 4076 4618 5095 8152 9236 10190 11545 16304 18472 20380 23090 29551 36944 40760 46180 59102 66961 81520 92360 118204 133922 147755 184720 236408 267844 295510 334805 472816 535688 591020 669610 1071376 1182040 1339220 2352871 2364080 2678440 4705742 5356880 9411484 11764355 18822968 23528710 37645936 47057420 68233259 94114840 136466518 188229680 272933036 341166295 545866072 682332590 1091732144 1364665180 2729330360 5458660720