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5720064 = 21137219
BaseRepresentation
bin10101110100100000000000
3101202121110020
4111310200000
52431020224
6322333440
766422400
oct25644000
911677406
105720064
113257629
121aba280
13125376c
14a8c800
1577ec79
hex574800

5720064 has 144 divisors (see below), whose sum is σ = 18673200. Its totient is φ = 1548288.

The previous prime is 5720063. The next prime is 5720087. The reversal of 5720064 is 4600275.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5720063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 301047 + ... + 301065.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

Almost surely, 25720064 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 5720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336600).

5720064 is an abundant number, since it is smaller than the sum of its proper divisors (12953136).

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

5720064 is a wasteful number, since it uses less digits than its factorization.

5720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

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

The square root of 5720064 is about 2391.6655284550. The cubic root of 5720064 is about 178.8409477357.

The spelling of 5720064 in words is "five million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 256 266 294 304 336 384 392 399 448 456 512 532 588 608 672 768 784 798 896 912 931 1024 1064 1176 1216 1344 1536 1568 1596 1792 1824 1862 2048 2128 2352 2432 2688 2793 3072 3136 3192 3584 3648 3724 4256 4704 4864 5376 5586 6144 6272 6384 7168 7296 7448 8512 9408 9728 10752 11172 12544 12768 14336 14592 14896 17024 18816 19456 21504 22344 25088 25536 29184 29792 34048 37632 38912 43008 44688 50176 51072 58368 59584 68096 75264 89376 100352 102144 116736 119168 136192 150528 178752 204288 238336 272384 301056 357504 408576 476672 715008 817152 953344 1430016 1906688 2860032 5720064