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1992415420 = 2252918118979
BaseRepresentation
bin111011011000001…
…1101100010111100
312010212002012010201
41312300131202330
513040024243140
6525412213244
7100242152212
oct16660354274
95125065121
101992415420
11932737216
1247730a224
13259a20048
1414c882cb2
15b9db549a
hex76c1d8bc

1992415420 has 48 divisors (see below), whose sum is σ = 4352493600. Its totient is φ = 765192960.

The previous prime is 1992415409. The next prime is 1992415421. The reversal of 1992415420 is 245142991.

It is a self number, because there is not a number n which added to its sum of digits gives 1992415420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992415421) by changing a digit.

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, 95491 + ... + 114469.

It is an arithmetic number, because the mean of its divisors is an integer number (90676950).

Almost surely, 21992415420 is an apocalyptic number.

1992415420 is a gapful number since it is divisible by the number (10) 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 1992415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176246800).

1992415420 is an abundant number, since it is smaller than the sum of its proper divisors (2360078180).

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

1992415420 is a wasteful number, since it uses less digits than its factorization.

1992415420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19198 (or 19196 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1992415420 is about 44636.4808200647. The cubic root of 1992415420 is about 1258.3263703643.

It can be divided in two parts, 19924 and 15420, that added together give a square (35344 = 1882).

The spelling of 1992415420 in words is "one billion, nine hundred ninety-two million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1810 3620 5249 10498 18979 20996 26245 37958 52490 75916 94895 104980 189790 379580 550391 1100782 2201564 2751955 3435199 5503910 6870398 11007820 13740796 17175995 34351990 68703980 99620771 199241542 398483084 498103855 996207710 1992415420