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1027915980 = 2235713316073
BaseRepresentation
bin111101010001001…
…100000011001100
32122122012112122020
4331101030003030
54101121302410
6245555450140
734321066410
oct7521140314
92578175566
101027915980
11488260543
122482b6950
13134c62710
149a736d40
1560397a70
hex3d44c0cc

1027915980 has 192 divisors, whose sum is σ = 3657228288. Its totient is φ = 209848320.

The previous prime is 1027915939. The next prime is 1027916009. The reversal of 1027915980 is 895197201.

It is a super-2 number, since 2×10279159802 = 2113222523878720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166224 + ... + 172296.

It is an arithmetic number, because the mean of its divisors is an integer number (19048064).

Almost surely, 21027915980 is an apocalyptic number.

1027915980 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 1027915980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828614144).

1027915980 is an abundant number, since it is smaller than the sum of its proper divisors (2629312308).

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

1027915980 is a wasteful number, since it uses less digits than its factorization.

1027915980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 1027915980 is about 32061.1288010887. The cubic root of 1027915980 is about 1009.2200559707.

It can be divided in two parts, 1027915 and 980, that added together give a triangular number (1028895 = T1434).

The spelling of 1027915980 in words is "one billion, twenty-seven million, nine hundred fifteen thousand, nine hundred eighty".