[go: up one dir, main page]

Search a number
-
+
1053500240 = 245131012981
BaseRepresentation
bin111110110010110…
…010001101010000
32201102100100122102
4332302302031100
54124144001430
6252312055532
735051414162
oct7662621520
92642310572
101053500240
114a0745361
122549945a8
1313a34c830
149dcb6932
156274d345
hex3ecb2350

1053500240 has 40 divisors (see below), whose sum is σ = 2637805128. Its totient is φ = 388984320.

The previous prime is 1053500233. The next prime is 1053500267. The reversal of 1053500240 is 420053501.

1053500240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19749136 + 1033751104 = 4444^2 + 32152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10535002402 = 2219725511360115200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505451 + ... + 507530.

Almost surely, 21053500240 is an apocalyptic number.

1053500240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053500240 is an abundant number, since it is smaller than the sum of its proper divisors (1584304888).

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

1053500240 is a wasteful number, since it uses less digits than its factorization.

1053500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013007 (or 1013001 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1053500240 is about 32457.6684313584. The cubic root of 1053500240 is about 1017.5245108766.

Adding to 1053500240 its reverse (420053501), we get a palindrome (1473553741).

The spelling of 1053500240 in words is "one billion, fifty-three million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1012981 2025962 4051924 5064905 8103848 10129810 13168753 16207696 20259620 26337506 40519240 52675012 65843765 81038480 105350024 131687530 210700048 263375060 526750120 1053500240