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1375049760 = 2535721719181
BaseRepresentation
bin101000111110101…
…1001100000100000
310112211101202122220
41101331121200200
510304003043020
6344240031040
746034505300
oct12175314040
93484352586
101375049760
116461a8267
12324602480
1318bb54116
14d0899600
1580ab7240
hex51f59820

1375049760 has 576 divisors, whose sum is σ = 5646775680. Its totient is φ = 278691840.

The previous prime is 1375049737. The next prime is 1375049783. The reversal of 1375049760 is 679405731.

It is an interprime number because it is at equal distance from previous prime (1375049737) and next prime (1375049783).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7596870 + ... + 7597050.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 21375049760 is an apocalyptic number.

1375049760 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 1375049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

1375049760 is an abundant number, since it is smaller than the sum of its proper divisors (4271725920).

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

1375049760 is a wasteful number, since it uses less digits than its factorization.

1375049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1375049760 is about 37081.6633931112. The cubic root of 1375049760 is about 1112.0034590925.

The spelling of 1375049760 in words is "one billion, three hundred seventy-five million, forty-nine thousand, seven hundred sixty".