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2140551020 = 2251913741117
BaseRepresentation
bin111111110010110…
…0011011101101100
312112011211020222102
41333211203131230
513340440113040
6552223234232
7104021245346
oct17745433554
95464736872
102140551020
119a9315733
124b8a48978
1328161844a
14164404296
15c7dc7515
hex7f96376c

2140551020 has 48 divisors (see below), whose sum is σ = 4766398560. Its totient is φ = 805215744.

The previous prime is 2140551011. The next prime is 2140551029. The reversal of 2140551020 is 201550412.

It is an interprime number because it is at equal distance from previous prime (2140551011) and next prime (2140551029).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2140550983 and 2140551001.

It is not an unprimeable number, because it can be changed into a prime (2140551029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31502 + ... + 72618.

It is an arithmetic number, because the mean of its divisors is an integer number (99299970).

Almost surely, 22140551020 is an apocalyptic number.

2140551020 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 2140551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383199280).

2140551020 is an abundant number, since it is smaller than the sum of its proper divisors (2625847540).

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

2140551020 is a wasteful number, since it uses less digits than its factorization.

2140551020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41282 (or 41280 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2140551020 is about 46266.0893095580. The cubic root of 2140551020 is about 1288.7693369041.

The spelling of 2140551020 in words is "two billion, one hundred forty million, five hundred fifty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 685 1370 2603 2740 5206 10412 13015 26030 41117 52060 82234 164468 205585 411170 781223 822340 1562446 3124892 3906115 5633029 7812230 11266058 15624460 22532116 28165145 56330290 107027551 112660580 214055102 428110204 535137755 1070275510 2140551020