Search a number
-
+
1998936940 = 22571121329313
BaseRepresentation
bin111011100100101…
…0101101101101100
312011022100111222111
41313021111231230
513043211440230
6530204053404
7100351453330
oct16711255554
95138314874
101998936940
11936390a00
12479534264
1325b194530
1414d69d7c0
15ba75292a
hex77255b6c

1998936940 has 288 divisors, whose sum is σ = 5893453440. Its totient is φ = 553512960.

The previous prime is 1998936917. The next prime is 1998936941. The reversal of 1998936940 is 496398991.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (1998936941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6386224 + ... + 6386536.

It is an arithmetic number, because the mean of its divisors is an integer number (20463380).

Almost surely, 21998936940 is an apocalyptic number.

1998936940 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 1998936940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946726720).

1998936940 is an abundant number, since it is smaller than the sum of its proper divisors (3894516500).

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

1998936940 is a wasteful number, since it uses less digits than its factorization.

1998936940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 58.

The square root of 1998936940 is about 44709.4725980972. The cubic root of 1998936940 is about 1259.6977817204.

The spelling of 1998936940 in words is "one billion, nine hundred ninety-eight million, nine hundred thirty-six thousand, nine hundred forty".