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5700096 = 29321237
BaseRepresentation
bin10101101111101000000000
3101201121001200
4111233220000
52424400341
6322101200
766310233
oct25575000
911647050
105700096
113243626
121aaa800
13124764c
14a8541a
15778db6
hex56fa00

5700096 has 60 divisors (see below), whose sum is σ = 16464162. Its totient is φ = 1898496.

The previous prime is 5700091. The next prime is 5700131. The reversal of 5700096 is 6900075.

5700096 is a `hidden beast` number, since 570 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4260096 + 1440000 = 2064^2 + 1200^2 .

It is not an unprimeable number, because it can be changed into a prime (5700091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3990 + ... + 5226.

Almost surely, 25700096 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 5700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232081).

5700096 is an abundant number, since it is smaller than the sum of its proper divisors (10764066).

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

5700096 is a wasteful number, since it uses less digits than its factorization.

5700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5700096 is about 2387.4873821656. The cubic root of 5700096 is about 178.6326016092.

The spelling of 5700096 in words is "five million, seven hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1237 1536 2304 2474 3711 4608 4948 7422 9896 11133 14844 19792 22266 29688 39584 44532 59376 79168 89064 118752 158336 178128 237504 316672 356256 475008 633344 712512 950016 1425024 1900032 2850048 5700096