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993672420 = 2235131273939
BaseRepresentation
bin111011001110100…
…011110011100100
32120020202210022020
4323032203303210
54013340004140
6242333503140
733424035066
oct7316436344
92506683266
10993672420
1146a9a1884
12238941ab0
1312ab33060
1495d81736
155c3816d0
hex3b3a3ce4

993672420 has 48 divisors (see below), whose sum is σ = 2996306880. Its totient is φ = 244596096.

The previous prime is 993672409. The next prime is 993672437. The reversal of 993672420 is 24276399.

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, 636190 + ... + 637749.

It is an arithmetic number, because the mean of its divisors is an integer number (62423060).

Almost surely, 2993672420 is an apocalyptic number.

It is an amenable number.

993672420 is an abundant number, since it is smaller than the sum of its proper divisors (2002634460).

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

993672420 is a wasteful number, since it uses less digits than its factorization.

993672420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273964 (or 1273962 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 993672420 is about 31522.5700094393. The cubic root of 993672420 is about 997.8863422653.

The spelling of 993672420 in words is "nine hundred ninety-three million, six hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1273939 2547878 3821817 5095756 6369695 7643634 12739390 15287268 16561207 19109085 25478780 33122414 38218170 49683621 66244828 76436340 82806035 99367242 165612070 198734484 248418105 331224140 496836210 993672420