Search a number
-
+
98111520 = 25335131747
BaseRepresentation
bin1011101100100…
…01000000100000
320211121120201000
411312101000200
5200104032040
613422512000
72300635263
oct566210040
9224546630
1098111520
1150421701
1228a35600
1317432070
14d05ccda
158930130
hex5d91020

98111520 has 192 divisors, whose sum is σ = 370016640. Its totient is φ = 24136704.

The previous prime is 98111477. The next prime is 98111527. The reversal of 98111520 is 2511189.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (98111527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55287 + ... + 57033.

It is an arithmetic number, because the mean of its divisors is an integer number (1927170).

Almost surely, 298111520 is an apocalyptic number.

98111520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008320).

98111520 is an abundant number, since it is smaller than the sum of its proper divisors (271905120).

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

98111520 is a wasteful number, since it uses less digits than its factorization.

98111520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 98111520 is about 9905.1259456909. The cubic root of 98111520 is about 461.2184458552.

The spelling of 98111520 in words is "ninety-eight million, one hundred eleven thousand, five hundred twenty".