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30680640 = 263355367
BaseRepresentation
bin111010100001…
…0011001000000
32010201201221000
41311002121000
530323240030
63013332000
7521531634
oct165023100
963651830
1030680640
1116355901
12a337000
136482a33
144108dc4
152a60860
hex1d42640

30680640 has 224 divisors, whose sum is σ = 111922560. Its totient is φ = 7907328.

The previous prime is 30680623. The next prime is 30680641. The reversal of 30680640 is 4608603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30680641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457887 + ... + 457953.

Almost surely, 230680640 is an apocalyptic number.

30680640 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 30680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55961280).

30680640 is an abundant number, since it is smaller than the sum of its proper divisors (81241920).

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

30680640 is a wasteful number, since it uses less digits than its factorization.

30680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30680640 is about 5539.0107420008. The cubic root of 30680640 is about 313.0555961493.

The spelling of 30680640 in words is "thirty million, six hundred eighty thousand, six hundred forty".