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2116653400 = 235226939343
BaseRepresentation
bin111111000101001…
…1001000101011000
312110111212010121101
41332022121011120
513313330402100
6550011121144
7103311154111
oct17612310530
95414763541
102116653400
11996883034
124b0a431b4
1327969bc44
14161183208
15c5c5686a
hex7e299158

2116653400 has 48 divisors (see below), whose sum is σ = 4939639200. Its totient is φ = 843492480.

The previous prime is 2116653397. The next prime is 2116653401. The reversal of 2116653400 is 43566112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116653401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34129 + ... + 73471.

It is an arithmetic number, because the mean of its divisors is an integer number (102909150).

Almost surely, 22116653400 is an apocalyptic number.

2116653400 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 2116653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469819600).

2116653400 is an abundant number, since it is smaller than the sum of its proper divisors (2822985800).

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

2116653400 is a wasteful number, since it uses less digits than its factorization.

2116653400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39628 (or 39619 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2116653400 is about 46007.1016257273. The cubic root of 2116653400 is about 1283.9553349952.

The spelling of 2116653400 in words is "two billion, one hundred sixteen million, six hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 26900 39343 53800 78686 157372 196715 314744 393430 786860 983575 1573720 1967150 3934300 7868600 10583267 21166534 42333068 52916335 84666136 105832670 211665340 264581675 423330680 529163350 1058326700 2116653400