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97338020 = 225133171181
BaseRepresentation
bin1011100110101…
…00001010100100
320210011021122212
411303110022210
5144404304040
613354142552
72261234213
oct563241244
9223137585
1097338020
114aa4354a
1228721a58
1317220c80
14ccdb07a
15882ad65
hex5cd42a4

97338020 has 48 divisors (see below), whose sum is σ = 221015088. Its totient is φ = 35796480.

The previous prime is 97338019. The next prime is 97338037. The reversal of 97338020 is 2083379.

It can be written as a sum of positive squares in 8 ways, for example, as 8111104 + 89226916 = 2848^2 + 9446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81830 + ... + 83010.

It is an arithmetic number, because the mean of its divisors is an integer number (4604481).

Almost surely, 297338020 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 97338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110507544).

97338020 is an abundant number, since it is smaller than the sum of its proper divisors (123677068).

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

97338020 is a wasteful number, since it uses less digits than its factorization.

97338020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 97338020 is about 9866.0032434619. The cubic root of 97338020 is about 460.0031820826.

The spelling of 97338020 in words is "ninety-seven million, three hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 317 634 1181 1268 1585 2362 3170 4121 4724 5905 6340 8242 11810 15353 16484 20605 23620 30706 41210 61412 76765 82420 153530 307060 374377 748754 1497508 1871885 3743770 4866901 7487540 9733802 19467604 24334505 48669010 97338020