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970297920 = 26335112303
BaseRepresentation
bin111001110101011…
…001001001000000
32111121210020112000
4321311121021000
53441344013140
6240140504000
733021252624
oct7165311100
92447706460
10970297920
11458787209
12230b4b000
1312603a9a7
1492c19184
155a2b5a30
hex39d59240

970297920 has 112 divisors (see below), whose sum is σ = 3423025920. Its totient is φ = 258743808.

The previous prime is 970297897. The next prime is 970297927. The reversal of 970297920 is 29792079.

It is a super-5 number, since 5×9702979205 (a number of 46 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (970297927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47512 + ... + 64791.

Almost surely, 2970297920 is an apocalyptic number.

970297920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970297920 is an abundant number, since it is smaller than the sum of its proper divisors (2452728000).

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

970297920 is a wasteful number, since it uses less digits than its factorization.

970297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112329 (or 112313 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 970297920 is about 31149.6054549652. The cubic root of 970297920 is about 989.9996326904. Note that the first 3 decimals are identical.

The spelling of 970297920 in words is "nine hundred seventy million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 112303 224606 336909 449212 561515 673818 898424 1010727 1123030 1347636 1684545 1796848 2021454 2246060 2695272 3032181 3369090 3593696 4042908 4492120 5053635 5390544 6064362 6738180 7187392 8085816 8984240 10107270 10781088 12128724 13476360 15160905 16171632 17968480 20214540 21562176 24257448 26952720 30321810 32343264 35936960 40429080 48514896 53905440 60643620 64686528 80858160 97029792 107810880 121287240 161716320 194059584 242574480 323432640 485148960 970297920