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5716440 = 233356779
BaseRepresentation
bin10101110011100111011000
3101202102111000
4111303213120
52430411230
6322305000
766406002
oct25634730
911672430
105716440
113254934
121ab8160
131251c12
14a8b372
1577db60
hex5739d8

5716440 has 128 divisors (see below), whose sum is σ = 19584000. Its totient is φ = 1482624.

The previous prime is 5716433. The next prime is 5716441. The reversal of 5716440 is 446175.

5716440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5716441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72321 + ... + 72399.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

Almost surely, 25716440 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 5716440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792000).

5716440 is an abundant number, since it is smaller than the sum of its proper divisors (13867560).

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

5716440 is a wasteful number, since it uses less digits than its factorization.

5716440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5716440 is about 2390.9077773933. The cubic root of 5716440 is about 178.8031709721.

The spelling of 5716440 in words is "five million, seven hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 79 90 108 120 134 135 158 180 201 216 237 268 270 316 335 360 395 402 474 536 540 603 632 670 711 790 804 948 1005 1080 1185 1206 1340 1422 1580 1608 1809 1896 2010 2133 2370 2412 2680 2844 3015 3160 3555 3618 4020 4266 4740 4824 5293 5688 6030 7110 7236 8040 8532 9045 9480 10586 10665 12060 14220 14472 15879 17064 18090 21172 21330 24120 26465 28440 31758 36180 42344 42660 47637 52930 63516 72360 79395 85320 95274 105860 127032 142911 158790 190548 211720 238185 285822 317580 381096 476370 571644 635160 714555 952740 1143288 1429110 1905480 2858220 5716440