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5706240 = 2935743
BaseRepresentation
bin10101110001001000000000
3101201220111020
4111301020000
52430044430
6322145440
766334161
oct25611000
911656436
105706240
113248201
121ab2280
13124a397
14a87768
1577ab10
hex571200

5706240 has 80 divisors (see below), whose sum is σ = 18266688. Its totient is φ = 1519616.

The previous prime is 5706221. The next prime is 5706269. The reversal of 5706240 is 426075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57062402 = 65122349875200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5706240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7309 + ... + 8051.

Almost surely, 25706240 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 5706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133344).

5706240 is an abundant number, since it is smaller than the sum of its proper divisors (12560448).

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

5706240 is an equidigital number, since it uses as much as digits as its factorization.

5706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5706240 is about 2388.7737439950. The cubic root of 5706240 is about 178.6967598626.

The spelling of 5706240 in words is "five million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 743 768 960 1280 1486 1536 1920 2229 2560 2972 3715 3840 4458 5944 7430 7680 8916 11145 11888 14860 17832 22290 23776 29720 35664 44580 47552 59440 71328 89160 95104 118880 142656 178320 190208 237760 285312 356640 380416 475520 570624 713280 951040 1141248 1426560 1902080 2853120 5706240