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5714160 = 243529821
BaseRepresentation
bin10101110011000011110000
3101202022100120
4111303003300
52430323120
6322250240
766366234
oct25630360
911668316
105714160
113253151
121ab6980
131250b7a
14a8a5c4
1577d140
hex5730f0

5714160 has 80 divisors (see below), whose sum is σ = 18347040. Its totient is φ = 1469440.

The previous prime is 5714153. The next prime is 5714167. The reversal of 5714160 is 614175.

5714160 = T35 + T36 + ... + T324.

It is an interprime number because it is at equal distance from previous prime (5714153) and next prime (5714167).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5714160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5714167) 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, 6550 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (229338).

Almost surely, 25714160 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 5714160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173520).

5714160 is an abundant number, since it is smaller than the sum of its proper divisors (12632880).

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

5714160 is a wasteful number, since it uses less digits than its factorization.

5714160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5714160 is about 2390.4309234948. The cubic root of 5714160 is about 178.7793959512.

The spelling of 5714160 in words is "five million, seven hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 821 870 1160 1392 1642 1740 2320 2463 3284 3480 4105 4926 6568 6960 8210 9852 12315 13136 16420 19704 23809 24630 32840 39408 47618 49260 65680 71427 95236 98520 119045 142854 190472 197040 238090 285708 357135 380944 476180 571416 714270 952360 1142832 1428540 1904720 2857080 5714160