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2025364320 = 253257200929
BaseRepresentation
bin111100010111000…
…1001101101100000
312020011002011112100
41320232021231200
513121443124240
6532550330400
7101122212150
oct17056115540
95204064470
102025364320
1194a2a1211
12486359a00
132637b8335
14152dbc760
15bcc22e30
hex78b89b60

2025364320 has 144 divisors (see below), whose sum is σ = 7898960160. Its totient is φ = 462938112.

The previous prime is 2025364303. The next prime is 2025364339. The reversal of 2025364320 is 234635202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90385 + ... + 110544.

It is an arithmetic number, because the mean of its divisors is an integer number (54853890).

Almost surely, 22025364320 is an apocalyptic number.

2025364320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2025364320 is an abundant number, since it is smaller than the sum of its proper divisors (5873595840).

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

2025364320 is a wasteful number, since it uses less digits than its factorization.

2025364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200957 (or 200946 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2025364320 is about 45004.0478179463. The cubic root of 2025364320 is about 1265.2248648570.

Adding to 2025364320 its reverse (234635202), we get a palindrome (2259999522).

The spelling of 2025364320 in words is "two billion, twenty-five million, three hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 200929 401858 602787 803716 1004645 1205574 1406503 1607432 1808361 2009290 2411148 2813006 3013935 3214864 3616722 4018580 4219509 4822296 5626012 6027870 6429728 7032515 7233444 8037160 8439018 9041805 9644592 11252024 12055740 12658527 14065030 14466888 16074320 16878036 18083610 19289184 21097545 22504048 24111480 25317054 28130060 28933776 32148640 33756072 36167220 42195090 45008096 48222960 50634108 56260120 57867552 63292635 67512144 72334440 84390180 96445920 101268216 112520240 126585270 135024288 144668880 168780360 202536432 225040480 253170540 289337760 337560720 405072864 506341080 675121440 1012682160 2025364320