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1484298240 = 21135192543
BaseRepresentation
bin101100001111000…
…1001100000000000
310211102222011101220
41120132021200000
511014440020430
6403141355040
751532220055
oct13036114000
93742864356
101484298240
116a1936267
12355108a80
131a86853a9
141011b702c
158a497110
hex58789800

1484298240 has 192 divisors, whose sum is σ = 5000486400. Its totient is φ = 374833152.

The previous prime is 1484298199. The next prime is 1484298287. The reversal of 1484298240 is 428924841.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1484298192 and 1484298201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582409 + ... + 584951.

It is an arithmetic number, because the mean of its divisors is an integer number (26044200).

Almost surely, 21484298240 is an apocalyptic number.

1484298240 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 1484298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500243200).

1484298240 is an abundant number, since it is smaller than the sum of its proper divisors (3516188160).

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

1484298240 is a wasteful number, since it uses less digits than its factorization.

1484298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1484298240 is about 38526.5913363744. The cubic root of 1484298240 is about 1140.7059954394.

The spelling of 1484298240 in words is "one billion, four hundred eighty-four million, two hundred ninety-eight thousand, two hundred forty".