Search a number
-
+
1930482432 = 28321097687
BaseRepresentation
bin111001100010000…
…1101001100000000
311222112112200001100
41303010031030000
512423200414212
6515320534400
765560554444
oct16304151400
94875480040
101930482432
1190078602a
1245a621400
13249c472c8
14144560824
15b472ebdc
hex7310d300

1930482432 has 108 divisors (see below), whose sum is σ = 5617852240. Its totient is φ = 637507584.

The previous prime is 1930482431. The next prime is 1930482461. The reversal of 1930482432 is 2342840391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1930482431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247293 + ... + 254979.

Almost surely, 21930482432 is an apocalyptic number.

1930482432 is a gapful number since it is divisible by the number (12) 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 1930482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808926120).

1930482432 is an abundant number, since it is smaller than the sum of its proper divisors (3687369808).

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

1930482432 is a wasteful number, since it uses less digits than its factorization.

1930482432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1930482432 is about 43937.2556266319. The cubic root of 1930482432 is about 1245.1507980113.

The spelling of 1930482432 in words is "one billion, nine hundred thirty million, four hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 576 654 768 872 981 1152 1308 1744 1962 2304 2616 3488 3924 5232 6976 7687 7848 10464 13952 15374 15696 20928 23061 27904 30748 31392 41856 46122 61496 62784 69183 83712 92244 122992 125568 138366 184488 245984 251136 276732 368976 491968 553464 737952 837883 983936 1106928 1475904 1675766 1967872 2213856 2513649 2951808 3351532 4427712 5027298 5903616 6703064 7540947 8855424 10054596 13406128 15081894 17710848 20109192 26812256 30163788 40218384 53624512 60327576 80436768 107249024 120655152 160873536 214498048 241310304 321747072 482620608 643494144 965241216 1930482432