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2131925280 = 253514513061
BaseRepresentation
bin111111100010010…
…1001100100100000
312111120121000200120
41333010221210200
513331233102110
6551314320240
7103555031412
oct17704514440
95446530616
102131925280
119a4464021
124b5b89080
1327c8b8264
141631da9b2
15c7271870
hex7f129920

2131925280 has 96 divisors (see below), whose sum is σ = 6722388288. Its totient is φ = 567936000.

The previous prime is 2131925249. The next prime is 2131925303. The reversal of 2131925280 is 825291312.

It is a happy number.

2131925280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 694950 + ... + 698010.

It is an arithmetic number, because the mean of its divisors is an integer number (70024878).

Almost surely, 22131925280 is an apocalyptic number.

2131925280 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 2131925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361194144).

2131925280 is an abundant number, since it is smaller than the sum of its proper divisors (4590463008).

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

2131925280 is a wasteful number, since it uses less digits than its factorization.

2131925280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2131925280 is about 46172.7763947545. The cubic root of 2131925280 is about 1287.0358961932.

The spelling of 2131925280 in words is "two billion, one hundred thirty-one million, nine hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1451 2902 3061 4353 5804 6122 7255 8706 9183 11608 12244 14510 15305 17412 18366 21765 23216 24488 29020 30610 34824 36732 43530 45915 46432 48976 58040 61220 69648 73464 87060 91830 97952 116080 122440 139296 146928 174120 183660 232160 244880 293856 348240 367320 489760 696480 734640 1469280 4441511 8883022 13324533 17766044 22207555 26649066 35532088 44415110 53298132 66622665 71064176 88830220 106596264 133245330 142128352 177660440 213192528 266490660 355320880 426385056 532981320 710641760 1065962640 2131925280