Search a number
-
+
2075704704 = 27341941257
BaseRepresentation
bin111101110111000…
…1011110110000000
312100122210201120000
41323232023312000
513222340022304
6541545320000
7102303125133
oct17356136600
95318721500
102075704704
11975754737
1249b196000
13271062648
1415996421a
15c2368939
hex7bb8bd80

2075704704 has 320 divisors, whose sum is σ = 6686895600. Its totient is φ = 637009920.

The previous prime is 2075704691. The next prime is 2075704711. The reversal of 2075704704 is 4074075702.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8076544 + ... + 8076800.

Almost surely, 22075704704 is an apocalyptic number.

2075704704 is a gapful number since it is divisible by the number (24) 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 2075704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343447800).

2075704704 is an abundant number, since it is smaller than the sum of its proper divisors (4611190896).

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

2075704704 is a wasteful number, since it uses less digits than its factorization.

2075704704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 2075704704 is about 45559.9023703958. The cubic root of 2075704704 is about 1275.6215765102.

The spelling of 2075704704 in words is "two billion, seventy-five million, seven hundred four thousand, seven hundred four".