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2032133320 = 235742117239
BaseRepresentation
bin111100100011111…
…1110010011001000
312020121211001212001
41321013332103020
513130211231240
6533351400344
7101233563640
oct17107762310
95217731761
102032133320
119530a4928
124886830b4
13265018369
14153c61520
15bd60d89a
hex791fe4c8

2032133320 has 64 divisors (see below), whose sum is σ = 5238201600. Its totient is φ = 695036160.

The previous prime is 2032133309. The next prime is 2032133347. The reversal of 2032133320 is 233312302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109261 + ... + 126499.

It is an arithmetic number, because the mean of its divisors is an integer number (81846900).

Almost surely, 22032133320 is an apocalyptic number.

2032133320 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 2032133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619100800).

2032133320 is an abundant number, since it is smaller than the sum of its proper divisors (3206068280).

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

2032133320 is a wasteful number, since it uses less digits than its factorization.

2032133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17678 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2032133320 is about 45079.1894337065. The cubic root of 2032133320 is about 1266.6328064202.

Adding to 2032133320 its reverse (233312302), we get a palindrome (2265445622).

The spelling of 2032133320 in words is "two billion, thirty-two million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 421 842 1684 2105 2947 3368 4210 5894 8420 11788 14735 16840 17239 23576 29470 34478 58940 68956 86195 117880 120673 137912 172390 241346 344780 482692 603365 689560 965384 1206730 2413460 4826920 7257619 14515238 29030476 36288095 50803333 58060952 72576190 101606666 145152380 203213332 254016665 290304760 406426664 508033330 1016066660 2032133320