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2025960960 = 29351511747
BaseRepresentation
bin111100011000001…
…1011011000000000
312020012012110222010
41320300123120000
513122121222320
6533011212520
7101130245502
oct17060333000
95205173863
102025960960
1194a669501
124865a7140
13263966a8a
141530d5d72
15bccdeae0
hex78c1b600

2025960960 has 160 divisors (see below), whose sum is σ = 6523368192. Its totient is φ = 536371200.

The previous prime is 2025960947. The next prime is 2025960973. The reversal of 2025960960 is 690695202.

It is an interprime number because it is at equal distance from previous prime (2025960947) and next prime (2025960973).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×20259609602 = 8209035622888243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158807 + ... + 1160553.

Almost surely, 22025960960 is an apocalyptic number.

2025960960 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 2025960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261684096).

2025960960 is an abundant number, since it is smaller than the sum of its proper divisors (4497407232).

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

2025960960 is a wasteful number, since it uses less digits than its factorization.

2025960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 2025960960 is about 45010.6760669066. The cubic root of 2025960960 is about 1265.3490910094.

The spelling of 2025960960 in words is "two billion, twenty-five million, nine hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 256 302 320 384 453 480 512 604 640 755 768 906 960 1208 1280 1510 1536 1747 1812 1920 2265 2416 2560 3020 3494 3624 3840 4530 4832 5241 6040 6988 7248 7680 8735 9060 9664 10482 12080 13976 14496 17470 18120 19328 20964 24160 26205 27952 28992 34940 36240 38656 41928 48320 52410 55904 57984 69880 72480 77312 83856 96640 104820 111808 115968 139760 144960 167712 193280 209640 223616 231936 263797 279520 289920 335424 386560 419280 447232 527594 559040 579840 670848 791391 838560 894464 1055188 1118080 1159680 1318985 1341696 1582782 1677120 2110376 2236160 2637970 2683392 3165564 3354240 3956955 4220752 4472320 5275940 6331128 6708480 7913910 8441504 10551880 12662256 13416960 15827820 16883008 21103760 25324512 31655640 33766016 42207520 50649024 63311280 67532032 84415040 101298048 126622560 135064064 168830080 202596096 253245120 337660160 405192192 506490240 675320320 1012980480 2025960960