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970520720 = 245133130103
BaseRepresentation
bin111001110110001…
…111100010010000
32111122012120010212
4321312033202100
53441423130340
6240145343252
733023201321
oct7166174220
92448176125
10970520720
11458919644
12231037b28
131260b8220
1492c76448
155a30ba65
hex39d8f890

970520720 has 80 divisors (see below), whose sum is σ = 2508506112. Its totient is φ = 346775040.

The previous prime is 970520713. The next prime is 970520723. The reversal of 970520720 is 27025079.

970520720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (970520723) 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, 17189 + ... + 47291.

Almost surely, 2970520720 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 970520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254253056).

970520720 is an abundant number, since it is smaller than the sum of its proper divisors (1537985392).

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

970520720 is a wasteful number, since it uses less digits than its factorization.

970520720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160 (or 30154 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 970520720 is about 31153.1815389697. The cubic root of 970520720 is about 990.0754015284.

Adding to 970520720 its reverse (27025079), we get a palindrome (997545799).

The spelling of 970520720 in words is "nine hundred seventy million, five hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 16120 30103 32240 60206 120412 150515 240824 301030 391339 481648 602060 782678 933193 1204120 1565356 1866386 1956695 2408240 3130712 3732772 3913390 4665965 6261424 7465544 7826780 9331930 12131509 14931088 15653560 18663860 24263018 31307120 37327720 48526036 60657545 74655440 97052072 121315090 194104144 242630180 485260360 970520720