Search a number
-
+
5700672 = 26333299
BaseRepresentation
bin10101101111110001000000
3101201121212000
4111233301000
52424410142
6322104000
766312015
oct25576100
911647760
105700672
113243aaa
121aab000
1312479a3
14a8570c
1577914c
hex56fc40

5700672 has 56 divisors (see below), whose sum is σ = 16764000. Its totient is φ = 1899648.

The previous prime is 5700671. The next prime is 5700679. The reversal of 5700672 is 2760075.

It is a super-2 number, since 2×57006722 = 64995322503168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5700671) 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 7 ways as a sum of consecutive naturals, for example, 79 + ... + 3377.

Almost surely, 25700672 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 5700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382000).

5700672 is an abundant number, since it is smaller than the sum of its proper divisors (11063328).

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

5700672 is a wasteful number, since it uses less digits than its factorization.

5700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5700672 is about 2387.6080080281. The cubic root of 5700672 is about 178.6386184034.

The spelling of 5700672 in words is "five million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3299 6598 9897 13196 19794 26392 29691 39588 52784 59382 79176 89073 105568 118764 158352 178146 211136 237528 316704 356292 475056 633408 712584 950112 1425168 1900224 2850336 5700672