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1007070714 = 2321317324877
BaseRepresentation
bin111100000001101…
…010110111111010
32121011222111022100
4330001222313322
54030302230324
6243533004230
733645650136
oct7401526772
92534874270
101007070714
11477513151
12241323676
13130844640
1497a6c3c6
155d62b4c9
hex3c06adfa

1007070714 has 48 divisors (see below), whose sum is σ = 2363509512. Its totient is φ = 308064384.

The previous prime is 1007070683. The next prime is 1007070731. The reversal of 1007070714 is 4170707001.

It can be written as a sum of positive squares in 4 ways, for example, as 570971025 + 436099689 = 23895^2 + 20883^2 .

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 23 ways as a sum of consecutive naturals, for example, 28044 + ... + 52920.

Almost surely, 21007070714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007070714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181754756).

1007070714 is an abundant number, since it is smaller than the sum of its proper divisors (1356438798).

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

1007070714 is a wasteful number, since it uses less digits than its factorization.

1007070714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25071 (or 25068 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 1007070714 is about 31734.3774793204. The cubic root of 1007070714 is about 1002.3513713857.

Adding to 1007070714 its reverse (4170707001), we get a palindrome (5177777715).

The spelling of 1007070714 in words is "one billion, seven million, seventy thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 1038 1557 2249 3114 4498 6747 13494 20241 24877 40482 49754 74631 149262 223893 323401 447786 646802 970203 1940406 2910609 4303721 5821218 8607442 12911163 25822326 38733489 55948373 77466978 111896746 167845119 335690238 503535357 1007070714