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971708040 = 233256144249
BaseRepresentation
bin111001111010110…
…001011010001000
32111201102212211200
4321322301122020
53442224124130
6240231024200
733036245022
oct7172613210
92451385750
10971708040
1145955a6a6
1223150b060
13126412794
14930a5012
155a493760
hex39eb1688

971708040 has 96 divisors (see below), whose sum is σ = 3209895000. Its totient is φ = 254868480.

The previous prime is 971708039. The next prime is 971708081. The reversal of 971708040 is 40807179.

971708040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198979236 + 772728804 = 14106^2 + 27798^2 .

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 = 971707986 and 971708004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165 + ... + 44084.

Almost surely, 2971708040 is an apocalyptic number.

971708040 is a gapful number since it is divisible by the number (90) 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 971708040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604947500).

971708040 is an abundant number, since it is smaller than the sum of its proper divisors (2238186960).

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

971708040 is a wasteful number, since it uses less digits than its factorization.

971708040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44327 (or 44320 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 971708040 is about 31172.2318738970. The cubic root of 971708040 is about 990.4789846254.

The spelling of 971708040 in words is "nine hundred seventy-one million, seven hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 44249 88498 132747 176996 221245 265494 353992 398241 442490 530988 663735 796482 884980 1061976 1327470 1592964 1769960 1991205 2654940 2699189 3185928 3982410 5309880 5398378 7964820 8097567 10796756 13495945 15929640 16195134 21593512 24292701 26991890 32390268 40487835 48585402 53983780 64780536 80975670 97170804 107967560 121463505 161951340 194341608 242927010 323902680 485854020 971708040