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69970320 = 24325713883
BaseRepresentation
bin1000010101110…
…10100110010000
311212122212020100
410022322212100
5120403022240
610535412400
71506511050
oct412724620
9155585210
1069970320
1136550812
121b524100
131165b174
149415560
156221e30
hex42ba990

69970320 has 120 divisors (see below), whose sum is σ = 268572096. Its totient is φ = 15992064.

The previous prime is 69970289. The next prime is 69970321. The reversal of 69970320 is 2307996.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (69970321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902 + ... + 11981.

Almost surely, 269970320 is an apocalyptic number.

69970320 is a gapful number since it is divisible by the number (60) 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 69970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134286048).

69970320 is an abundant number, since it is smaller than the sum of its proper divisors (198601776).

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

69970320 is a wasteful number, since it uses less digits than its factorization.

69970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 69970320 is about 8364.8263580304. The cubic root of 69970320 is about 412.0702742477.

The spelling of 69970320 in words is "sixty-nine million, nine hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 13883 27766 41649 55532 69415 83298 97181 111064 124947 138830 166596 194362 208245 222128 249894 277660 291543 333192 388724 416490 485905 499788 555320 583086 624735 666384 777448 832980 874629 971810 999576 1110640 1166172 1249470 1457715 1554896 1665960 1749258 1943620 1999152 2332344 2498940 2915430 3331920 3498516 3887240 4373145 4664688 4997880 5830860 6997032 7774480 8746290 9995760 11661720 13994064 17492580 23323440 34985160 69970320