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2131995520 = 27514232341
BaseRepresentation
bin111111100010011…
…1010101110000000
312111120201121001001
41333010322232000
513331242324040
6551320021344
7103555443244
oct17704725600
95446647031
102131995520
119a4501876
124b6001854
1327c911215
14163218424
15c728759a
hex7f13ab80

2131995520 has 64 divisors (see below), whose sum is σ = 5102562240. Its totient is φ = 851834880.

The previous prime is 2131995493. The next prime is 2131995539. The reversal of 2131995520 is 255991312.

2131995520 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2131995520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909550 + ... + 911890.

It is an arithmetic number, because the mean of its divisors is an integer number (79727535).

Almost surely, 22131995520 is an apocalyptic number.

2131995520 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 2131995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551281120).

2131995520 is an abundant number, since it is smaller than the sum of its proper divisors (2970566720).

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

2131995520 is a wasteful number, since it uses less digits than its factorization.

2131995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 2131995520 is about 46173.5370098501. The cubic root of 2131995520 is about 1287.0500305861.

The spelling of 2131995520 in words is "two billion, one hundred thirty-one million, nine hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1423 2341 2846 4682 5692 7115 9364 11384 11705 14230 18728 22768 23410 28460 37456 45536 46820 56920 74912 91072 93640 113840 149824 182144 187280 227680 299648 374560 455360 749120 910720 1498240 3331243 6662486 13324972 16656215 26649944 33312430 53299888 66624860 106599776 133249720 213199552 266499440 426399104 532998880 1065997760 2131995520