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2001400032 = 25324118647
BaseRepresentation
bin111011101001010…
…1111000011100000
312011110222122201010
41313102233003200
513044324300112
6530332540520
7100411422342
oct16722570340
95143878633
102001400032
11937813515
1247a321740
1325b847698
1414db41292
15baa8c63c
hex774af0e0

2001400032 has 48 divisors (see below), whose sum is σ = 5256461952. Its totient is φ = 666779520.

The previous prime is 2001400007. The next prime is 2001400061. The reversal of 2001400032 is 2300041002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001399990 and 2001400017.

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, 227133 + ... + 235779.

It is an arithmetic number, because the mean of its divisors is an integer number (109509624).

Almost surely, 22001400032 is an apocalyptic number.

It is an amenable number.

2001400032 is an abundant number, since it is smaller than the sum of its proper divisors (3255061920).

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

2001400032 is a wasteful number, since it uses less digits than its factorization.

2001400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071 (or 11063 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2001400032 is about 44737.0096452590. The cubic root of 2001400032 is about 1260.2149696206.

Adding to 2001400032 its reverse (2300041002), we get a palindrome (4301441034).

The spelling of 2001400032 in words is "two billion, one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2411 4822 7233 8647 9644 14466 17294 19288 25941 28932 34588 38576 51882 57864 69176 77152 103764 115728 138352 207528 231456 276704 415056 830112 20847917 41695834 62543751 83391668 125087502 166783336 250175004 333566672 500350008 667133344 1000700016 2001400032