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2098701440 = 27511241661
BaseRepresentation
bin111110100010111…
…1010010010000000
312102021002002010222
41331011322102000
513244231421230
6544130242212
7103002445043
oct17505722200
95367062128
102098701440
11987731500
124a6a26368
13275a54a94
1415ca2cc5a
15c43ac6e5
hex7d17a480

2098701440 has 192 divisors, whose sum is σ = 5657835960. Its totient is φ = 743424000.

The previous prime is 2098701433. The next prime is 2098701463. The reversal of 2098701440 is 441078902.

It can be written as a sum of positive squares in 4 ways, for example, as 1451914816 + 646786624 = 38104^2 + 25432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2098701440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3174710 + ... + 3175370.

Almost surely, 22098701440 is an apocalyptic number.

2098701440 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 2098701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828917980).

2098701440 is an abundant number, since it is smaller than the sum of its proper divisors (3559134520).

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

2098701440 is a wasteful number, since it uses less digits than its factorization.

2098701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2098701440 is about 45811.5863073961. The cubic root of 2098701440 is about 1280.3151567719.

The spelling of 2098701440 in words is "two billion, ninety-eight million, seven hundred one thousand, four hundred forty".