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97050000 = 24355647
BaseRepresentation
bin1011100100011…
…01110110010000
320202121122120110
411302031312100
5144321100000
613344041320
72255624415
oct562156620
9222548513
1097050000
114a867113
1228603240
131714cb48
14cc6410c
1587c0850
hex5c8dd90

97050000 has 120 divisors (see below), whose sum is σ = 313854912. Its totient is φ = 25840000.

The previous prime is 97049987. The next prime is 97050017. The reversal of 97050000 is 5079.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149677 + ... + 150323.

Almost surely, 297050000 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 97050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156927456).

97050000 is an abundant number, since it is smaller than the sum of its proper divisors (216804912).

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

97050000 is an equidigital number, since it uses as much as digits as its factorization.

97050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 97050000 is about 9851.3958401843. The cubic root of 97050000 is about 459.5490224106.

Adding to 97050000 its reverse (5079), we get a palindrome (97055079).

The spelling of 97050000 in words is "ninety-seven million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 647 750 1000 1200 1250 1294 1500 1875 1941 2000 2500 2588 3000 3125 3235 3750 3882 5000 5176 6000 6250 6470 7500 7764 9375 9705 10000 10352 12500 12940 15000 15528 16175 18750 19410 25000 25880 30000 31056 32350 37500 38820 48525 50000 51760 64700 75000 77640 80875 97050 129400 150000 155280 161750 194100 242625 258800 323500 388200 404375 485250 647000 776400 808750 970500 1213125 1294000 1617500 1941000 2021875 2426250 3235000 3882000 4043750 4852500 6065625 6470000 8087500 9705000 12131250 16175000 19410000 24262500 32350000 48525000 97050000