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1080300480 = 26357198461
BaseRepresentation
bin100000001100100…
…0001001111000000
32210021202221122220
41000121001033000
54203024103410
6255110331040
735525255040
oct10031011700
92707687586
101080300480
1150488a816
12261959a80
13142a7426c
14a3691720
1564c94070
hex406413c0

1080300480 has 224 divisors, whose sum is σ = 4126748160. Its totient is φ = 233902080.

The previous prime is 1080300467. The next prime is 1080300497. The reversal of 1080300480 is 840030801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1080300480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123450 + ... + 131910.

Almost surely, 21080300480 is an apocalyptic number.

1080300480 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 1080300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063374080).

1080300480 is an abundant number, since it is smaller than the sum of its proper divisors (3046447680).

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

1080300480 is a wasteful number, since it uses less digits than its factorization.

1080300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1080300480 is about 32867.9247899833. The cubic root of 1080300480 is about 1026.0807098446.

The spelling of 1080300480 in words is "one billion, eighty million, three hundred thousand, four hundred eighty".