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970336540 = 2251727710303
BaseRepresentation
bin111001110101100…
…010100100011100
32111121212012111101
4321311202210130
53441401232130
6240141402444
733021503335
oct7165424434
92447765441
10970336540
11458803228
12230b69424
13126052444
1492c2928c
155a2c21ca
hex39d6291c

970336540 has 48 divisors (see below), whose sum is σ = 2165571072. Its totient is φ = 363949056.

The previous prime is 970336501. The next prime is 970336547. The reversal of 970336540 is 45633079.

970336540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 970336540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970336547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89029 + ... + 99331.

It is an arithmetic number, because the mean of its divisors is an integer number (45116064).

Almost surely, 2970336540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970336540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082785536).

970336540 is an abundant number, since it is smaller than the sum of its proper divisors (1195234532).

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

970336540 is a wasteful number, since it uses less digits than its factorization.

970336540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 970336540 is about 31150.2253603405. The cubic root of 970336540 is about 990.0127672400.

The spelling of 970336540 in words is "nine hundred seventy million, three hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 277 340 554 1108 1385 2770 4709 5540 9418 10303 18836 20606 23545 41212 47090 51515 94180 103030 175151 206060 350302 700604 875755 1751510 2853931 3503020 5707862 11415724 14269655 28539310 48516827 57078620 97033654 194067308 242584135 485168270 970336540