Search a number
-
+
3892980 = 22357132331
BaseRepresentation
bin1110110110011011110100
321022210011110
432312123310
51444033410
6215235020
745042540
oct16663364
97283143
103892980
112219943
121378a70
13a63c50
14734a20
1551d720
hex3b66f4

3892980 has 192 divisors, whose sum is σ = 14450688. Its totient is φ = 760320.

The previous prime is 3892979. The next prime is 3893023. The reversal of 3892980 is 892983.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125565 + ... + 125595.

It is an arithmetic number, because the mean of its divisors is an integer number (75264).

Almost surely, 23892980 is an apocalyptic number.

3892980 is a gapful number since it is divisible by the number (30) 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 3892980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225344).

3892980 is an abundant number, since it is smaller than the sum of its proper divisors (10557708).

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

3892980 is a wasteful number, since it uses less digits than its factorization.

3892980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3892980 is about 1973.0636076924. The cubic root of 3892980 is about 157.3115912852.

The spelling of 3892980 in words is "three million, eight hundred ninety-two thousand, nine hundred eighty".