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5707416 = 23311131663
BaseRepresentation
bin10101110001011010011000
3101201222002210
4111301122120
52430114131
6322155120
766340461
oct25613230
911658083
105707416
113249080
121ab2aa0
13124aa90
14a87d68
1577b146
hex571698

5707416 has 64 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1595520.

The previous prime is 5707399. The next prime is 5707447. The reversal of 5707416 is 6147075.

5707416 = T208 + T209 + ... + T350.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 2601 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 25707416 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 5707416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5707416 is an abundant number, since it is smaller than the sum of its proper divisors (11065704).

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

5707416 is a wasteful number, since it uses less digits than its factorization.

5707416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 5707416 is about 2389.0198827134. The cubic root of 5707416 is about 178.7090349016.

The spelling of 5707416 in words is "five million, seven hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1663 1716 3326 3432 4989 6652 9978 13304 18293 19956 21619 36586 39912 43238 54879 64857 73172 86476 109758 129714 146344 172952 219516 237809 259428 439032 475618 518856 713427 951236 1426854 1902472 2853708 5707416