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98137000 = 2353137549
BaseRepresentation
bin1011101100101…
…11001110101000
320211122212122201
411312113032220
5200110341000
613423225544
72301102463
oct566271650
9224585581
1098137000
1150439865
1228a482b4
1317440840
14d0682da
15893796a
hex5d973a8

98137000 has 64 divisors (see below), whose sum is σ = 247338000. Its totient is φ = 36230400.

The previous prime is 98136949. The next prime is 98137019. The reversal of 98137000 is 73189.

It can be written as a sum of positive squares in 8 ways, for example, as 2762244 + 95374756 = 1662^2 + 9766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98137000.

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, 9226 + ... + 16774.

Almost surely, 298137000 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 98137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123669000).

98137000 is an abundant number, since it is smaller than the sum of its proper divisors (149201000).

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

98137000 is a wasteful number, since it uses less digits than its factorization.

98137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 98137000 is about 9906.4120649204. The cubic root of 98137000 is about 461.2583692295.

The spelling of 98137000 in words is "ninety-eight million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 7549 13000 15098 30196 37745 60392 75490 98137 150980 188725 196274 301960 377450 392548 490685 754900 785096 943625 981370 1509800 1887250 1962740 2453425 3774500 3925480 4906850 7549000 9813700 12267125 19627400 24534250 49068500 98137000