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2140102320 = 243570912577
BaseRepresentation
bin111111110001111…
…0101111010110000
312112010222110110220
41333203311322300
513340331233240
6552205453040
7104014366236
oct17743657260
95463873426
102140102320
119a9039604
124b8871180
132814bc145
14164328956
15c7d395d0
hex7f8f5eb0

2140102320 has 80 divisors (see below), whose sum is σ = 6644202720. Its totient is φ = 569843712.

The previous prime is 2140102301. The next prime is 2140102331. The reversal of 2140102320 is 232010412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2140102320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163872 + ... + 176448.

It is an arithmetic number, because the mean of its divisors is an integer number (83052534).

Almost surely, 22140102320 is an apocalyptic number.

2140102320 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 2140102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322101360).

2140102320 is an abundant number, since it is smaller than the sum of its proper divisors (4504100400).

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

2140102320 is a wasteful number, since it uses less digits than its factorization.

2140102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13302 (or 13296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2140102320 is about 46261.2399315021. The cubic root of 2140102320 is about 1288.6792804644.

Adding to 2140102320 its reverse (232010412), we get a palindrome (2372112732).

The spelling of 2140102320 in words is "two billion, one hundred forty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 709 1418 2127 2836 3545 4254 5672 7090 8508 10635 11344 12577 14180 17016 21270 25154 28360 34032 37731 42540 50308 56720 62885 75462 85080 100616 125770 150924 170160 188655 201232 251540 301848 377310 503080 603696 754620 1006160 1509240 3018480 8917093 17834186 26751279 35668372 44585465 53502558 71336744 89170930 107005116 133756395 142673488 178341860 214010232 267512790 356683720 428020464 535025580 713367440 1070051160 2140102320