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1832148540 = 2232591111173
BaseRepresentation
bin110110100110100…
…0101111000111100
311201200111210022100
41231031011320330
512223012223130
6501445145100
763255001635
oct15515057074
94650453270
101832148540
11860222352
124316bb190
13232767c81
1413548488c
15aaca8c60
hex6d345e3c

1832148540 has 72 divisors (see below), whose sum is σ = 5564115648. Its totient is φ = 487992960.

The previous prime is 1832148529. The next prime is 1832148569. The reversal of 1832148540 is 458412381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1832148495 and 1832148504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158394 + ... + 169566.

It is an arithmetic number, because the mean of its divisors is an integer number (77279384).

Almost surely, 21832148540 is an apocalyptic number.

1832148540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1832148540 is an abundant number, since it is smaller than the sum of its proper divisors (3731967108).

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

1832148540 is a wasteful number, since it uses less digits than its factorization.

1832148540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1832148540 is about 42803.6042874896. The cubic root of 1832148540 is about 1223.6397039628.

The spelling of 1832148540 in words is "one billion, eight hundred thirty-two million, one hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 911 1822 2733 3644 4555 5466 8199 9110 10932 11173 13665 16398 18220 22346 27330 32796 33519 40995 44692 54660 55865 67038 81990 100557 111730 134076 163980 167595 201114 223460 335190 402228 502785 670380 1005570 2011140 10178603 20357206 30535809 40714412 50893015 61071618 91607427 101786030 122143236 152679045 183214854 203572060 305358090 366429708 458037135 610716180 916074270 1832148540