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2543536140 = 2235377914503
BaseRepresentation
bin1001011110011011…
…0100100000001100
320120021010000122020
42113212310200030
520202121124030
61100220450140
7120013462155
oct22746644014
96507100566
102543536140
11109583a392
125ab9a9950
13316c63692
141a1b4492c
15ed47a510
hex979b480c

2543536140 has 96 divisors (see below), whose sum is σ = 7407482880. Its totient is φ = 651545856.

The previous prime is 2543536123. The next prime is 2543536159. The reversal of 2543536140 is 416353452.

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, 168129 + ... + 182631.

It is an arithmetic number, because the mean of its divisors is an integer number (77161280).

Almost surely, 22543536140 is an apocalyptic number.

2543536140 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 2543536140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703741440).

2543536140 is an abundant number, since it is smaller than the sum of its proper divisors (4863946740).

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

2543536140 is a wasteful number, since it uses less digits than its factorization.

2543536140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2543536140 is about 50433.4823306898. The cubic root of 2543536140 is about 1365.0418642985.

Adding to 2543536140 its reverse (416353452), we get a palindrome (2959889592).

The spelling of 2543536140 in words is "two billion, five hundred forty-three million, five hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2923 4740 5846 8769 11692 14503 14615 17538 29006 29230 35076 43509 43845 58012 58460 72515 87018 87690 145030 174036 175380 217545 290060 435090 536611 870180 1073222 1145737 1609833 2146444 2291474 2683055 3219666 3437211 4582948 5366110 5728685 6439332 6874422 8049165 10732220 11457370 13748844 16098330 17186055 22914740 32196660 34372110 42392269 68744220 84784538 127176807 169569076 211961345 254353614 423922690 508707228 635884035 847845380 1271768070 2543536140