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5770072 = 23711171929
BaseRepresentation
bin10110000000101101011000
3101212011001101
4112000231120
52434120242
6323401144
7100021240
oct26005530
911764041
105770072
113291160
121b231b4
131270459
14aa2b20
1578e9b7
hex580b58

5770072 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1935360.

The previous prime is 5770031. The next prime is 5770073. The reversal of 5770072 is 2700775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 55 + 72 + 72 + 0 + 0 + 78 + 211 .

It is a self number, because there is not a number n which added to its sum of digits gives 5770072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198954 + ... + 198982.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 25770072 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 5770072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

5770072 is an abundant number, since it is smaller than the sum of its proper divisors (9781928).

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

5770072 is a wasteful number, since it uses less digits than its factorization.

5770072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 5770072 is about 2402.0974168422. The cubic root of 5770072 is about 179.3606121430.

It can be divided in two parts, 5 and 770072, that added together give a palindrome (770077).

The spelling of 5770072 in words is "five million, seven hundred seventy thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 17 19 22 28 29 34 38 44 56 58 68 76 77 88 116 119 133 136 152 154 187 203 209 232 238 266 308 319 323 374 406 418 476 493 532 551 616 638 646 748 812 836 952 986 1064 1102 1276 1292 1309 1463 1496 1624 1672 1972 2204 2233 2261 2552 2584 2618 2926 3451 3553 3857 3944 4408 4466 4522 5236 5423 5852 6061 6902 7106 7714 8932 9044 9367 10472 10846 11704 12122 13804 14212 15428 17864 18088 18734 21692 24244 24871 27608 28424 30856 37468 37961 42427 43384 48488 49742 65569 74936 75922 84854 99484 103037 131138 151844 169708 198968 206074 262276 303688 339416 412148 524552 721259 824296 1442518 2885036 5770072