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1284214680 = 2332571731967
BaseRepresentation
bin100110010001011…
…1000111110011000
310022111110212100200
41030202320332120
510112224332210
6331233102200
743552434060
oct11442707630
93274425320
101284214680
115a99a6551
122ba0b7960
1317609c058
14c27b23a0
1577b230c0
hex4c8b8f98

1284214680 has 384 divisors, whose sum is σ = 5218836480. Its totient is φ = 267079680.

The previous prime is 1284214621. The next prime is 1284214691. The reversal of 1284214680 is 864124821.

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

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, 1327557 + ... + 1328523.

It is an arithmetic number, because the mean of its divisors is an integer number (13590720).

Almost surely, 21284214680 is an apocalyptic number.

1284214680 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 1284214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609418240).

1284214680 is an abundant number, since it is smaller than the sum of its proper divisors (3934621800).

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

1284214680 is a wasteful number, since it uses less digits than its factorization.

1284214680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1284214680 is about 35835.9411764223. The cubic root of 1284214680 is about 1086.9574495426.

The spelling of 1284214680 in words is "one billion, two hundred eighty-four million, two hundred fourteen thousand, six hundred eighty".