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30983040 = 2733511163
BaseRepresentation
bin111011000110…
…0001110000000
32011022002202000
41312030032000
530412424130
63024024000
7524231364
oct166141600
964262660
1030983040
1116542020
12a462000
13655a57a
1441872a4
152ac0260
hex1d8c380

30983040 has 256 divisors, whose sum is σ = 120441600. Its totient is φ = 7464960.

The previous prime is 30983033. The next prime is 30983077. The reversal of 30983040 is 4038903.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30982995 and 30983013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189999 + ... + 190161.

It is an arithmetic number, because the mean of its divisors is an integer number (470475).

Almost surely, 230983040 is an apocalyptic number.

30983040 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 30983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60220800).

30983040 is an abundant number, since it is smaller than the sum of its proper divisors (89458560).

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

30983040 is a wasteful number, since it uses less digits than its factorization.

30983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30983040 is about 5566.2411014975. The cubic root of 30983040 is about 314.0807668146.

The spelling of 30983040 in words is "thirty million, nine hundred eighty-three thousand, forty".