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2120302140 = 22351116719237
BaseRepresentation
bin111111001100001…
…0011111000111100
312110202201111201220
41332120103320330
513320244132030
6550221233340
7103354161615
oct17630237074
95422644656
102120302140
11998945420
124b2102850
1327a378968
14161852c0c
15c6227a10
hex7e613e3c

2120302140 has 96 divisors (see below), whose sum is σ = 6515679744. Its totient is φ = 510908160.

The previous prime is 2120302139. The next prime is 2120302183. The reversal of 2120302140 is 412030212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100602 + ... + 119838.

It is an arithmetic number, because the mean of its divisors is an integer number (67871664).

Almost surely, 22120302140 is an apocalyptic number.

2120302140 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 2120302140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257839872).

2120302140 is an abundant number, since it is smaller than the sum of its proper divisors (4395377604).

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

2120302140 is a wasteful number, since it uses less digits than its factorization.

2120302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19427 (or 19425 counting only the distinct ones).

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

The square root of 2120302140 is about 46046.7386467272. The cubic root of 2120302140 is about 1284.6926828967.

Adding to 2120302140 its reverse (412030212), we get a palindrome (2532332352).

The spelling of 2120302140 in words is "two billion, one hundred twenty million, three hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 220 330 334 501 660 668 835 1002 1670 1837 2004 2505 3340 3674 5010 5511 7348 9185 10020 11022 18370 19237 22044 27555 36740 38474 55110 57711 76948 96185 110220 115422 192370 211607 230844 288555 384740 423214 577110 634821 846428 1058035 1154220 1269642 2116070 2539284 3174105 3212579 4232140 6348210 6425158 9637737 12696420 12850316 16062895 19275474 32125790 35338369 38550948 48188685 64251580 70676738 96377370 106015107 141353476 176691845 192754740 212030214 353383690 424060428 530075535 706767380 1060151070 2120302140