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5707968 = 263731137
BaseRepresentation
bin10101110001100011000000
3101201222212020
4111301203000
52430123333
6322201440
766342210
oct25614300
911658766
105707968
113249532
121ab3280
13124b0c6
14a88240
1577b3b3
hex5718c0

5707968 has 112 divisors (see below), whose sum is σ = 17946624. Its totient is φ = 1566720.

The previous prime is 5707967. The next prime is 5707997. The reversal of 5707968 is 8697075.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5707963) 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, 41596 + ... + 41732.

Almost surely, 25707968 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 5707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973312).

5707968 is an abundant number, since it is smaller than the sum of its proper divisors (12238656).

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

5707968 is a wasteful number, since it uses less digits than its factorization.

5707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5707968 is about 2389.1354084689. The cubic root of 5707968 is about 178.7147960731.

The spelling of 5707968 in words is "five million, seven hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 137 168 186 192 217 224 248 274 336 372 411 434 448 496 548 651 672 744 822 868 959 992 1096 1302 1344 1488 1644 1736 1918 1984 2192 2604 2877 2976 3288 3472 3836 4247 4384 5208 5754 5952 6576 6944 7672 8494 8768 10416 11508 12741 13152 13888 15344 16988 20832 23016 25482 26304 29729 30688 33976 41664 46032 50964 59458 61376 67952 89187 92064 101928 118916 135904 178374 184128 203856 237832 271808 356748 407712 475664 713496 815424 951328 1426992 1902656 2853984 5707968