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2025520320 = 263518111657
BaseRepresentation
bin111100010111010…
…1111110011000000
312020011101002112010
41320232233303000
513122013122240
6532553532520
7101123432025
oct17056576300
95204332463
102025520320
1194a39843a
12486414140
13263841345
1415301d54c
15bcc54280
hex78bafcc0

2025520320 has 112 divisors (see below), whose sum is σ = 6467112288. Its totient is φ = 537108480.

The previous prime is 2025520303. The next prime is 2025520337. The reversal of 2025520320 is 230255202.

It is an interprime number because it is at equal distance from previous prime (2025520303) and next prime (2025520337).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167932 + ... + 179588.

It is an arithmetic number, because the mean of its divisors is an integer number (57742074).

Almost surely, 22025520320 is an apocalyptic number.

2025520320 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 2025520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233556144).

2025520320 is an abundant number, since it is smaller than the sum of its proper divisors (4441591968).

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

2025520320 is a wasteful number, since it uses less digits than its factorization.

2025520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2025520320 is about 45005.7809620053. The cubic root of 2025520320 is about 1265.2573479038.

Adding to 2025520320 its reverse (230255202), we get a palindrome (2255775522).

The spelling of 2025520320 in words is "two billion, twenty-five million, five hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 480 543 724 905 960 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 11584 11657 14480 17376 21720 23314 28960 34752 34971 43440 46628 57920 58285 69942 86880 93256 116570 139884 173760 174855 186512 233140 279768 349710 373024 466280 559536 699420 746048 932560 1119072 1398840 1865120 2109917 2238144 2797680 3730240 4219834 5595360 6329751 8439668 10549585 11190720 12659502 16879336 21099170 25319004 31648755 33758672 42198340 50638008 63297510 67517344 84396680 101276016 126595020 135034688 168793360 202552032 253190040 337586720 405104064 506380080 675173440 1012760160 2025520320