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1350498240 = 263257135153
BaseRepresentation
bin101000001111110…
…1111011111000000
310111010012102022100
41100133233133000
510231211420430
6342001510400
745316021440
oct12037573700
93433172270
101350498240
11633359353
12318342400
13186a390b0
14cb508120
157d867960
hex507ef7c0

1350498240 has 336 divisors, whose sum is σ = 5718218688. Its totient is φ = 284884992.

The previous prime is 1350498223. The next prime is 1350498263. The reversal of 1350498240 is 428940531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1350498195 and 1350498204.

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 47 ways as a sum of consecutive naturals, for example, 259504 + ... + 264656.

It is an arithmetic number, because the mean of its divisors is an integer number (17018508).

Almost surely, 21350498240 is an apocalyptic number.

1350498240 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 1350498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859109344).

1350498240 is an abundant number, since it is smaller than the sum of its proper divisors (4367720448).

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

1350498240 is a wasteful number, since it uses less digits than its factorization.

1350498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1350498240 is about 36749.1257038858. The cubic root of 1350498240 is about 1105.3453981913.

The spelling of 1350498240 in words is "one billion, three hundred fifty million, four hundred ninety-eight thousand, two hundred forty".