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97319140 = 22519475449
BaseRepresentation
bin1011100110011…
…11100011100100
320210010022202121
411303033203210
5144403203030
613353515324
72261125162
oct563174344
9223108677
1097319140
114aa30346
1228712b44
13172154b9
14ccd4232
15882547a
hex5ccf8e4

97319140 has 48 divisors (see below), whose sum is σ = 219744000. Its totient is φ = 36087552.

The previous prime is 97319113. The next prime is 97319149. The reversal of 97319140 is 4191379.

It is a junction number, because it is equal to n+sod(n) for n = 97319096 and 97319105.

It is not an unprimeable number, because it can be changed into a prime (97319149) 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, 15136 + ... + 20584.

It is an arithmetic number, because the mean of its divisors is an integer number (4578000).

Almost surely, 297319140 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 97319140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109872000).

97319140 is an abundant number, since it is smaller than the sum of its proper divisors (122424860).

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

97319140 is a wasteful number, since it uses less digits than its factorization.

97319140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 97319140 is about 9865.0463759680. The cubic root of 97319140 is about 459.9734389200.

The spelling of 97319140 in words is "ninety-seven million, three hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 5449 8930 10898 17860 21796 27245 54490 103531 108980 207062 256103 414124 512206 517655 1024412 1035310 1280515 2070620 2561030 4865957 5122060 9731914 19463828 24329785 48659570 97319140