Search a number
-
+
7001330000 = 24547100019
BaseRepresentation
bin1101000010100111…
…11101000101010000
3200001221020102012112
412201103331011100
5103314320030000
63114422444452
7335333215550
oct64123750520
920057212175
107001330000
112a73082945
121434893728
13877680422
144a5bc5160
152ae9cd235
hex1a14fd150

7001330000 has 100 divisors (see below), whose sum is σ = 19372673760. Its totient is φ = 2400432000.

The previous prime is 7001329939. The next prime is 7001330009. The reversal of 7001330000 is 331007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001330009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19991 + ... + 120009.

Almost surely, 27001330000 is an apocalyptic number.

7001330000 is a gapful number since it is divisible by the number (70) 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 7001330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686336880).

7001330000 is an abundant number, since it is smaller than the sum of its proper divisors (12371343760).

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

7001330000 is a wasteful number, since it uses less digits than its factorization.

7001330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100054 (or 100033 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 7001330000 is about 83673.9505461527. The cubic root of 7001330000 is about 1913.0523274085.

Adding to 7001330000 its reverse (331007), we get a palindrome (7001661007).

The spelling of 7001330000 in words is "seven billion, one million, three hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 100019 200038 400076 500095 700133 800152 1000190 1400266 1600304 2000380 2500475 2800532 3500665 4000760 5000950 5601064 7001330 8001520 10001900 11202128 12502375 14002660 17503325 20003800 25004750 28005320 35006650 40007600 50009500 56010640 62511875 70013300 87516625 100019000 125023750 140026600 175033250 200038000 250047500 280053200 350066500 437583125 500095000 700133000 875166250 1000190000 1400266000 1750332500 3500665000 7001330000