Search a number
-
+
7670075420 = 22571923283443
BaseRepresentation
bin1110010010010110…
…00001000000011100
3201210112121012110102
413021023001000130
5111202014403140
63305032200232
7361033364630
oct71113010034
921715535412
107670075420
113286615207
1215a0839078
13953098787
1452a944dc0
152ed579e15
hex1c92c101c

7670075420 has 192 divisors, whose sum is σ = 20336762880. Its totient is φ = 2369233152.

The previous prime is 7670075417. The next prime is 7670075429. The reversal of 7670075420 is 245700767.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7670075429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17313719 + ... + 17314161.

It is an arithmetic number, because the mean of its divisors is an integer number (105920640).

Almost surely, 27670075420 is an apocalyptic number.

7670075420 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 7670075420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168381440).

7670075420 is an abundant number, since it is smaller than the sum of its proper divisors (12666687460).

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

7670075420 is a wasteful number, since it uses less digits than its factorization.

7670075420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 7670075420 is about 87578.9667671411. The cubic root of 7670075420 is about 1972.1194278741.

The spelling of 7670075420 in words is "seven billion, six hundred seventy million, seventy-five thousand, four hundred twenty".