Search a number
-
+
7035420672 = 21933771
BaseRepresentation
bin1101000110101100…
…00000000000000000
3200011022101101211000
412203112000000000
5103402031430142
63122041252000
7336226042350
oct64326000000
920138341730
107035420672
112a90347755
121444194000
13881758317
144aa53ab60
152b29b414c
hex1a3580000

7035420672 has 320 divisors, whose sum is σ = 24159168000. Its totient is φ = 1981808640.

The previous prime is 7035420661. The next prime is 7035420713. The reversal of 7035420672 is 2760245307.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99090397 + ... + 99090467.

It is an arithmetic number, because the mean of its divisors is an integer number (75497400).

Almost surely, 27035420672 is an apocalyptic number.

7035420672 is a gapful number since it is divisible by the number (72) 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 7035420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079584000).

7035420672 is an abundant number, since it is smaller than the sum of its proper divisors (17123747328).

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

7035420672 is an frugal number, since it uses more digits than its factorization.

7035420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7035420672 is about 83877.4145524288. The cubic root of 7035420672 is about 1916.1522942971.

Adding to 7035420672 its reverse (2760245307), we get a palindrome (9795665979).

The spelling of 7035420672 in words is "seven billion, thirty-five million, four hundred twenty thousand, six hundred seventy-two".