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2098437120 = 2103251331113
BaseRepresentation
bin111110100010011…
…1001110000000000
312102020120122120100
41331010321300000
513244144441440
6544120442400
7103000264323
oct17504716000
95366518510
102098437120
1198757095a
124a6919400
13275991690
1415c9a07ba
15c4359230
hex7d139c00

2098437120 has 528 divisors, whose sum is σ = 8154461952. Its totient is φ = 495452160.

The previous prime is 2098437101. The next prime is 2098437127. The reversal of 2098437120 is 217348902.

2098437120 is a `hidden beast` number, since 209 + 8 + 437 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098437127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18570184 + ... + 18570296.

Almost surely, 22098437120 is an apocalyptic number.

2098437120 is a gapful number since it is divisible by the number (20) 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 2098437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077230976).

2098437120 is an abundant number, since it is smaller than the sum of its proper divisors (6056024832).

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

2098437120 is a wasteful number, since it uses less digits than its factorization.

2098437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2098437120 is about 45808.7013568383. The cubic root of 2098437120 is about 1280.2614049449.

The spelling of 2098437120 in words is "two billion, ninety-eight million, four hundred thirty-seven thousand, one hundred twenty".