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2572027120 = 2451359167251
BaseRepresentation
bin1001100101001110…
…0000010011110000
320122020201111220201
42121103200103300
520231414331440
61103115244544
7120510604225
oct23123402360
96566644821
102572027120
1110aa92a053
125b9449754
1331cb2a850
141a583d94c
15100c0719a
hex994e04f0

2572027120 has 160 divisors (see below), whose sum is σ = 6614576640. Its totient is φ = 924288000.

The previous prime is 2572027099. The next prime is 2572027153. The reversal of 2572027120 is 217202752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10246995 + ... + 10247245.

It is an arithmetic number, because the mean of its divisors is an integer number (41341104).

Almost surely, 22572027120 is an apocalyptic number.

2572027120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2572027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307288320).

2572027120 is an abundant number, since it is smaller than the sum of its proper divisors (4042549520).

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

2572027120 is a wasteful number, since it uses less digits than its factorization.

2572027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 2572027120 is about 50715.1567088183. The cubic root of 2572027120 is about 1370.1197117762.

Adding to 2572027120 its reverse (217202752), we get a palindrome (2789229872).

The spelling of 2572027120 in words is "two billion, five hundred seventy-two million, twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 167 208 236 251 260 295 334 472 502 520 590 668 767 835 944 1004 1040 1180 1255 1336 1534 1670 2008 2171 2360 2510 2672 3068 3263 3340 3835 4016 4342 4720 5020 6136 6526 6680 7670 8684 9853 10040 10855 12272 13052 13360 14809 15340 16315 17368 19706 20080 21710 26104 29618 30680 32630 34736 39412 41917 43420 49265 52208 59236 61360 65260 74045 78824 83834 86840 98530 118472 128089 130520 148090 157648 167668 173680 192517 197060 209585 236944 256178 261040 296180 335336 385034 394120 419170 512356 544921 592360 640445 670672 770068 788240 838340 962585 1024712 1089842 1184720 1280890 1540136 1676680 1925170 2049424 2179684 2473103 2561780 2724605 3080272 3353360 3850340 4359368 4946206 5123560 5449210 7700680 8718736 9892412 10247120 10898420 12365515 15401360 19784824 21796840 24731030 32150339 39569648 43593680 49462060 64300678 98924120 128601356 160751695 197848240 257202712 321503390 514405424 643006780 1286013560 2572027120