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1007140475 = 521122231493
BaseRepresentation
bin111100000001111…
…011111001111011
32121012010001000002
4330001323321323
54030311443400
6243534303215
733646360415
oct7401737173
92535101002
101007140475
11477560600
12241357b0b
1313086a313
1497a899b5
155d641ed5
hex3c07be7b

1007140475 has 36 divisors (see below), whose sum is σ = 1379786688. Its totient is φ = 728692800.

The previous prime is 1007140471. The next prime is 1007140483. The reversal of 1007140475 is 5740417001.

It is not a de Polignac number, because 1007140475 - 22 = 1007140471 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007140471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 673829 + ... + 675321.

It is an arithmetic number, because the mean of its divisors is an integer number (38327408).

Almost surely, 21007140475 is an apocalyptic number.

1007140475 is a deficient number, since it is larger than the sum of its proper divisors (372646213).

1007140475 is a wasteful number, since it uses less digits than its factorization.

1007140475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 1007140475 is about 31735.4765995408. The cubic root of 1007140475 is about 1002.3745155465.

Adding to 1007140475 its reverse (5740417001), we get a palindrome (6747557476).

The spelling of 1007140475 in words is "one billion, seven million, one hundred forty thousand, four hundred seventy-five".

Divisors: 1 5 11 25 55 121 223 275 605 1115 1493 2453 3025 5575 7465 12265 16423 26983 37325 61325 82115 134915 180653 332939 410575 674575 903265 1664695 3662329 4516325 8323475 18311645 40285619 91558225 201428095 1007140475