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2075717340 = 22345172329113
BaseRepresentation
bin111101110111000…
…1110111011011100
312100122211100220000
41323232032323130
513222340423330
6541545454300
7102303210024
oct17356167334
95318740800
102075717340
11975763184
1249b1a1390
13271068318
14159968a84
15c236c560
hex7bb8eedc

2075717340 has 480 divisors, whose sum is σ = 7508350080. Its totient is φ = 476872704.

The previous prime is 2075717309. The next prime is 2075717351. The reversal of 2075717340 is 437175702.

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

It is a junction number, because it is equal to n+sod(n) for n = 2075717295 and 2075717304.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1695 × 1479 × 828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18369124 + ... + 18369236.

It is an arithmetic number, because the mean of its divisors is an integer number (15642396).

Almost surely, 22075717340 is an apocalyptic number.

2075717340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2075717340 is the 28815-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075717340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754175040).

2075717340 is an abundant number, since it is smaller than the sum of its proper divisors (5432632740).

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

2075717340 is a wasteful number, since it uses less digits than its factorization.

2075717340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2075717340 is about 45560.0410447576. The cubic root of 2075717340 is about 1275.6241649839.

The spelling of 2075717340 in words is "two billion, seventy-five million, seven hundred seventeen thousand, three hundred forty".