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1014570480 = 2435721122331
BaseRepresentation
bin111100011110010…
…001110111110000
32121201002112001110
4330132101313300
54034212223410
6244401433320
734066464300
oct7436216760
92551075043
101014570480
11480775900
1224393b840
1313226c181
1498a61600
155e10d720
hex3c791df0

1014570480 has 720 divisors, whose sum is σ = 4331722752. Its totient is φ = 195148800.

The previous prime is 1014570463. The next prime is 1014570547. The reversal of 1014570480 is 840754101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32728065 + ... + 32728095.

Almost surely, 21014570480 is an apocalyptic number.

1014570480 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 1014570480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165861376).

1014570480 is an abundant number, since it is smaller than the sum of its proper divisors (3317152272).

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

1014570480 is a wasteful number, since it uses less digits than its factorization.

1014570480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1014570480 is about 31852.3229922089. The cubic root of 1014570480 is about 1004.8334270105.

The spelling of 1014570480 in words is "one billion, fourteen million, five hundred seventy thousand, four hundred eighty".