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1375626240 = 21034531107
BaseRepresentation
bin101000111111110…
…0110010000000000
310112212111001110000
41101333212100000
510304130014430
6344300240000
746042426062
oct12177462000
93485431400
101375626240
1164656139a
12324840000
1318bcc6631
14d09a9732
1580b7ce60
hex51fe6400

1375626240 has 440 divisors, whose sum is σ = 5136037632. Its totient is φ = 351682560.

The previous prime is 1375626233. The next prime is 1375626253. The reversal of 1375626240 is 426265731.

1375626240 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 626 + 24 + 0 = 666.

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 = 1375626195 and 1375626204.

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 39 ways as a sum of consecutive naturals, for example, 12856267 + ... + 12856373.

Almost surely, 21375626240 is an apocalyptic number.

1375626240 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 1375626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568018816).

1375626240 is an abundant number, since it is smaller than the sum of its proper divisors (3760411392).

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

1375626240 is a wasteful number, since it uses less digits than its factorization.

1375626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1375626240 is about 37089.4356926605. The cubic root of 1375626240 is about 1112.1588372731.

The spelling of 1375626240 in words is "one billion, three hundred seventy-five million, six hundred twenty-six thousand, two hundred forty".