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1824380040 = 233572171881
BaseRepresentation
bin110110010111101…
…1101010010001000
311201010220002221010
41230233131102020
512214020130130
6501010443520
763131655150
oct15457352210
94633802833
101824380040
118568a67aa
1242ab935a0
13230c78022
14134421760
15aa2720b0
hex6cbdd488

1824380040 has 64 divisors (see below), whose sum is σ = 6255020160. Its totient is φ = 417000960.

The previous prime is 1824380027. The next prime is 1824380071. The reversal of 1824380040 is 400834281.

1824380040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1085101 + ... + 1086780.

It is an arithmetic number, because the mean of its divisors is an integer number (97734690).

Almost surely, 21824380040 is an apocalyptic number.

1824380040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1824380040 is an abundant number, since it is smaller than the sum of its proper divisors (4430640120).

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

1824380040 is a wasteful number, since it uses less digits than its factorization.

1824380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171902 (or 2171898 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1824380040 is about 42712.7620272911. The cubic root of 1824380040 is about 1221.9078007124.

The spelling of 1824380040 in words is "one billion, eight hundred twenty-four million, three hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2171881 4343762 6515643 8687524 10859405 13031286 15203167 17375048 21718810 26062572 30406334 32578215 43437620 45609501 52125144 60812668 65156430 76015835 86875240 91219002 121625336 130312860 152031670 182438004 228047505 260625720 304063340 364876008 456095010 608126680 912190020 1824380040