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2140555320 = 2332552311369
BaseRepresentation
bin111111110010110…
…0100100000111000
312112011211110212200
41333211210200320
513340440232240
6552223310200
7104021264031
oct17745444070
95464743780
102140555320
119a9318992
124b8a4b360
1328161a3a7
14164405a88
15c7dc8930
hex7f964838

2140555320 has 96 divisors (see below), whose sum is σ = 6970719600. Its totient is φ = 569673216.

The previous prime is 2140555303. The next prime is 2140555321. The reversal of 2140555320 is 235550412.

It is a happy number.

2140555320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140555321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182596 + ... + 193964.

Almost surely, 22140555320 is an apocalyptic number.

2140555320 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 2140555320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485359800).

2140555320 is an abundant number, since it is smaller than the sum of its proper divisors (4830164280).

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

2140555320 is a wasteful number, since it uses less digits than its factorization.

2140555320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11909 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2140555320 is about 46266.1357798552. The cubic root of 2140555320 is about 1288.7701998757.

The spelling of 2140555320 in words is "two billion, one hundred forty million, five hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 523 1046 1569 2092 2615 3138 4184 4707 5230 6276 7845 9414 10460 11369 12552 15690 18828 20920 22738 23535 31380 34107 37656 45476 47070 56845 62760 68214 90952 94140 102321 113690 136428 170535 188280 204642 227380 272856 341070 409284 454760 511605 682140 818568 1023210 1364280 2046420 4092840 5945987 11891974 17837961 23783948 29729935 35675922 47567896 53513883 59459870 71351844 89189805 107027766 118919740 142703688 178379610 214055532 237839480 267569415 356759220 428111064 535138830 713518440 1070277660 2140555320