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1098420480 = 2833537859
BaseRepresentation
bin100000101111000…
…1001000100000000
32211112212112122000
41001132021010000
54222143423410
6300554544000
736135264033
oct10136110400
92745775560
101098420480
11514036623
12267a38000
13146749a61
14a5c4b01a
1566672dc0
hex41789100

1098420480 has 288 divisors, whose sum is σ = 4007875200. Its totient is φ = 284663808.

The previous prime is 1098420469. The next prime is 1098420493. The reversal of 1098420480 is 840248901.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1278291 + ... + 1279149.

Almost surely, 21098420480 is an apocalyptic number.

1098420480 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 1098420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003937600).

1098420480 is an abundant number, since it is smaller than the sum of its proper divisors (2909454720).

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

1098420480 is an equidigital number, since it uses as much as digits as its factorization.

1098420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1098420480 is about 33142.4271893294. The cubic root of 1098420480 is about 1031.7857857167.

The spelling of 1098420480 in words is "one billion, ninety-eight million, four hundred twenty thousand, four hundred eighty".