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1232680680 = 2338571161
BaseRepresentation
bin100100101111001…
…0011011011101000
310011220111200000000
41021132103123220
510011031240210
6322152343000
742355420140
oct11136233350
93156450000
101232680680
115828a8270
122a49a4a60
131684c766a
14b99d9920
1573343ac0
hex497936e8

1232680680 has 576 divisors, whose sum is σ = 5271626880. Its totient is φ = 251942400.

The previous prime is 1232680667. The next prime is 1232680697. The reversal of 1232680680 is 860862321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20207850 + ... + 20207910.

It is an arithmetic number, because the mean of its divisors is an integer number (9152130).

Almost surely, 21232680680 is an apocalyptic number.

1232680680 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 1232680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635813440).

1232680680 is an abundant number, since it is smaller than the sum of its proper divisors (4038946200).

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

1232680680 is an equidigital number, since it uses as much as digits as its factorization.

1232680680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1232680680 is about 35109.5525462801. The cubic root of 1232680680 is about 1072.2190765039.

The spelling of 1232680680 in words is "one billion, two hundred thirty-two million, six hundred eighty thousand, six hundred eighty".