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2002132032 = 26334929879
BaseRepresentation
bin111011101010110…
…0001110001000000
312011112100211211020
41313111201301000
513100021211112
6530400345440
7100420561425
oct16725416100
95145324736
102002132032
1193817347a
1247a615280
1325ba42914
1414dc91d4c
15bab8448c
hex77561c40

2002132032 has 56 divisors (see below), whose sum is σ = 5312664000. Its totient is φ = 665442816.

The previous prime is 2002132021. The next prime is 2002132063. The reversal of 2002132032 is 2302312002.

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, 52069 + ... + 81947.

It is an arithmetic number, because the mean of its divisors is an integer number (94869000).

Almost surely, 22002132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656332000).

2002132032 is an abundant number, since it is smaller than the sum of its proper divisors (3310531968).

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

2002132032 is a wasteful number, since it uses less digits than its factorization.

2002132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30243 (or 30233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2002132032 is about 44745.1900431767. The cubic root of 2002132032 is about 1260.3685895703.

Adding to 2002132032 its reverse (2302312002), we get a palindrome (4304444034).

The spelling of 2002132032 in words is "two billion, two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 349 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 22336 29879 33504 59758 67008 89637 119516 179274 239032 358548 478064 717096 956128 1434192 1912256 2868384 5736768 10427771 20855542 31283313 41711084 62566626 83422168 125133252 166844336 250266504 333688672 500533008 667377344 1001066016 2002132032