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1007000010 = 232511188889
BaseRepresentation
bin111100000001011…
…001100111001010
32121011211220022200
4330001121213022
54030243000020
6243531301030
733645234042
oct7401314712
92534756280
101007000010
11477475015
122412aa776
1313081b3c3
1497a50722
155d615590
hex3c0599ca

1007000010 has 24 divisors (see below), whose sum is σ = 2618200260. Its totient is φ = 268533312.

The previous prime is 1007000009. The next prime is 1007000011. The reversal of 1007000010 is 100007001.

It is an interprime number because it is at equal distance from previous prime (1007000009) and next prime (1007000011).

It can be written as a sum of positive squares in 2 ways, for example, as 967272201 + 39727809 = 31101^2 + 6303^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1006999956 and 1007000001.

It is not an unprimeable number, because it can be changed into a prime (1007000011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5594355 + ... + 5594534.

Almost surely, 21007000010 is an apocalyptic number.

1007000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007000010 is an abundant number, since it is smaller than the sum of its proper divisors (1611200250).

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

1007000010 is a wasteful number, since it uses less digits than its factorization.

1007000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11188902 (or 11188899 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1007000010 is about 31733.2634628082. The cubic root of 1007000010 is about 1002.3279132813.

Adding to 1007000010 its reverse (100007001), we get a palindrome (1107007011).

The spelling of 1007000010 in words is "one billion, seven million, ten", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11188889 22377778 33566667 55944445 67133334 100700001 111888890 167833335 201400002 335666670 503500005 1007000010