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5709984 = 253729293
BaseRepresentation
bin10101110010000010100000
3101202002121220
4111302002200
52430204414
6322215040
766351120
oct25620240
911662556
105709984
11324aaa5
121ab4480
13124bcb7
14a88c80
1577bca9
hex5720a0

5709984 has 96 divisors (see below), whose sum is σ = 17781120. Its totient is φ = 1569792.

The previous prime is 5709953. The next prime is 5710021. The reversal of 5709984 is 4899075.

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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19342 + ... + 19634.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 25709984 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 5709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560).

5709984 is an abundant number, since it is smaller than the sum of its proper divisors (12071136).

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

5709984 is a wasteful number, since it uses less digits than its factorization.

5709984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5709984 is about 2389.5572811716. The cubic root of 5709984 is about 178.7358337185.

The spelling of 5709984 in words is "five million, seven hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 293 336 348 406 464 586 609 672 696 812 879 928 1172 1218 1392 1624 1758 2051 2344 2436 2784 3248 3516 4102 4688 4872 6153 6496 7032 8204 8497 9376 9744 12306 14064 16408 16994 19488 24612 25491 28128 32816 33988 49224 50982 59479 65632 67976 98448 101964 118958 135952 178437 196896 203928 237916 271904 356874 407856 475832 713748 815712 951664 1427496 1903328 2854992 5709984