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1620130680 = 233357312223
BaseRepresentation
bin110000010010001…
…0011101101111000
311011220120011111000
41200210103231320
511304223140210
6424433005000
755101612030
oct14044235570
94156504430
101620130680
11761581183
123926b3760
131ca86380c
141152548c0
1597378ac0
hex60913b78

1620130680 has 384 divisors, whose sum is σ = 6406041600. Its totient is φ = 356762880.

The previous prime is 1620130667. The next prime is 1620130709. The reversal of 1620130680 is 860310261.

1620130680 is a `hidden beast` number, since 1 + 620 + 1 + 30 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7265049 + ... + 7265271.

It is an arithmetic number, because the mean of its divisors is an integer number (16682400).

Almost surely, 21620130680 is an apocalyptic number.

1620130680 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 1620130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203020800).

1620130680 is an abundant number, since it is smaller than the sum of its proper divisors (4785910920).

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

1620130680 is a wasteful number, since it uses less digits than its factorization.

1620130680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1620130680 is about 40250.8469476109. The cubic root of 1620130680 is about 1174.4918714339.

The spelling of 1620130680 in words is "one billion, six hundred twenty million, one hundred thirty thousand, six hundred eighty".