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1991442320 = 24572508021
BaseRepresentation
bin111011010110010…
…1111111110010000
312010210020202021222
41312230233332100
513034302123240
6525335304212
7100230660200
oct16654577620
95123222258
101991442320
119321320aa
12476b1b068
1325976c14a
1414c6ac400
15b9c71eb5
hex76b2ff90

1991442320 has 60 divisors (see below), whose sum is σ = 5386049244. Its totient is φ = 682778880.

The previous prime is 1991442319. The next prime is 1991442331. The reversal of 1991442320 is 232441991.

It can be written as a sum of positive squares in 2 ways, for example, as 1475789056 + 515653264 = 38416^2 + 22708^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250091 + ... + 257930.

Almost surely, 21991442320 is an apocalyptic number.

1991442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1991442320 is an abundant number, since it is smaller than the sum of its proper divisors (3394606924).

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

1991442320 is a wasteful number, since it uses less digits than its factorization.

1991442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508048 (or 508035 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1991442320 is about 44625.5792119273. The cubic root of 1991442320 is about 1258.1214805643.

The spelling of 1991442320 in words is "one billion, nine hundred ninety-one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 508021 1016042 2032084 2540105 3556147 4064168 5080210 7112294 8128336 10160420 14224588 17780735 20320840 24893029 28449176 35561470 40641680 49786058 56898352 71122940 99572116 124465145 142245880 199144232 248930290 284491760 398288464 497860580 995721160 1991442320