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98720000 = 2854617
BaseRepresentation
bin1011110001001…
…01100100000000
320212202111101022
411320211210000
5200233020000
613443525012
72306051261
oct570454400
9225674338
1098720000
11507a7885
1229089768
13175b6002
14d17a968
158a00585
hex5e25900

98720000 has 90 divisors (see below), whose sum is σ = 246638238. Its totient is φ = 39424000.

The previous prime is 98719997. The next prime is 98720009. The reversal of 98720000 is 2789.

It can be written as a sum of positive squares in 5 ways, for example, as 68425984 + 30294016 = 8272^2 + 5504^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98720009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159692 + ... + 160308.

Almost surely, 298720000 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 98720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123319119).

98720000 is an abundant number, since it is smaller than the sum of its proper divisors (147918238).

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

98720000 is an frugal number, since it uses more digits than its factorization.

98720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 98720000 is about 9935.7938786994. The cubic root of 98720000 is about 462.1699617662.

Adding to 98720000 its reverse (2789), we get a palindrome (98722789).

It can be divided in two parts, 98 and 720000, that multiplied together give a square (70560000 = 84002).

The spelling of 98720000 in words is "ninety-eight million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 617 625 640 800 1000 1234 1250 1280 1600 2000 2468 2500 3085 3200 4000 4936 5000 6170 6400 8000 9872 10000 12340 15425 16000 19744 20000 24680 30850 32000 39488 40000 49360 61700 77125 78976 80000 98720 123400 154250 157952 160000 197440 246800 308500 385625 394880 493600 617000 771250 789760 987200 1234000 1542500 1974400 2468000 3085000 3948800 4936000 6170000 9872000 12340000 19744000 24680000 49360000 98720000