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2145540020 = 2251315752561
BaseRepresentation
bin111111111100010…
…0101011110110100
312112112012201121012
41333320211132310
513343224240040
6552522211352
7104111534501
oct17770453664
95475181535
102145540020
11a01112a78
124ba653b58
13282674210
14164d424a8
15c8560865
hex7fe257b4

2145540020 has 48 divisors (see below), whose sum is σ = 4883220048. Its totient is φ = 787138560.

The previous prime is 2145539987. The next prime is 2145540043. The reversal of 2145540020 is 200455412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 63808144 + 2081731876 = 7988^2 + 45626^2 .

It is a congruent number.

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, 14540 + ... + 67100.

It is an arithmetic number, because the mean of its divisors is an integer number (101733751).

Almost surely, 22145540020 is an apocalyptic number.

2145540020 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 2145540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441610024).

2145540020 is an abundant number, since it is smaller than the sum of its proper divisors (2737680028).

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

2145540020 is a wasteful number, since it uses less digits than its factorization.

2145540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52740 (or 52738 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2145540020 is about 46319.9743091466. The cubic root of 2145540020 is about 1289.7698084947.

Adding to 2145540020 its reverse (200455412), we get a palindrome (2345995432).

The spelling of 2145540020 in words is "two billion, one hundred forty-five million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 40820 52561 105122 210244 262805 525610 683293 1051220 1366586 2733172 3416465 6832930 8252077 13665860 16504154 33008308 41260385 82520770 107277001 165041540 214554002 429108004 536385005 1072770010 2145540020