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1244475540 = 223257211101127
BaseRepresentation
bin100101000101101…
…0011000010010100
310012201200220111200
41022023103002110
510022041204130
6323253232500
742560603400
oct11213230224
93181626450
101244475540
11589523990
122a8932730
1316aa97179
14bb3ca100
15743c3760
hex4a2d3094

1244475540 has 432 divisors, whose sum is σ = 4875945984. Its totient is φ = 254016000.

The previous prime is 1244475527. The next prime is 1244475553. The reversal of 1244475540 is 455744421.

1244475540 is a `hidden beast` number, since 1 + 2 + 4 + 44 + 75 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1244475527) and next prime (1244475553).

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 = 1244475495 and 1244475504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9798957 + ... + 9799083.

It is an arithmetic number, because the mean of its divisors is an integer number (11286912).

Almost surely, 21244475540 is an apocalyptic number.

1244475540 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 1244475540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437972992).

1244475540 is an abundant number, since it is smaller than the sum of its proper divisors (3631470444).

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

1244475540 is a wasteful number, since it uses less digits than its factorization.

1244475540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The square root of 1244475540 is about 35277.1248828472. The cubic root of 1244475540 is about 1075.6280562858.

The spelling of 1244475540 in words is "one billion, two hundred forty-four million, four hundred seventy-five thousand, five hundred forty".