Search a number
-
+
2572564120 = 235737248317
BaseRepresentation
bin1001100101010110…
…0011011010011000
320122021201210112121
42121111203122120
520232034022440
61103134551024
7120515301640
oct23125433230
96567653477
102572564120
111100166555
125b9668474
1331cc880b9
141a593d520
15100cb134a
hex99563698

2572564120 has 64 divisors (see below), whose sum is σ = 6793980480. Its totient is φ = 858180096.

The previous prime is 2572564091. The next prime is 2572564121. The reversal of 2572564120 is 214652752.

It is a super-2 number, since 2×25725641202 = 13236172303022748800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572564121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113799 + ... + 134518.

It is an arithmetic number, because the mean of its divisors is an integer number (106155945).

Almost surely, 22572564120 is an apocalyptic number.

2572564120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2572564120 is an abundant number, since it is smaller than the sum of its proper divisors (4221416360).

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

2572564120 is a wasteful number, since it uses less digits than its factorization.

2572564120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248372 (or 248368 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 2572564120 is about 50720.4507077766. The cubic root of 2572564120 is about 1370.2150585011.

The spelling of 2572564120 in words is "two billion, five hundred seventy-two million, five hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 248317 496634 993268 1241585 1738219 1986536 2483170 3476438 4966340 6952876 8691095 9187729 9932680 13905752 17382190 18375458 34764380 36750916 45938645 64314103 69528760 73501832 91877290 128628206 183754580 257256412 321570515 367509160 514512824 643141030 1286282060 2572564120