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1824230640 = 243511716491
BaseRepresentation
bin110110010111011…
…1000110011110000
311201010121111222210
41230232320303300
512214000340030
6501003332120
763130463451
oct15456706360
94633544883
101824230640
11856804531
1242ab21040
13230c2501b
141343c3128
15aa242bb0
hex6cbb8cf0

1824230640 has 80 divisors (see below), whose sum is σ = 5660816256. Its totient is φ = 485971200.

The previous prime is 1824230609. The next prime is 1824230651. The reversal of 1824230640 is 460324281.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1824230598 and 1824230607.

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 15 ways as a sum of consecutive naturals, for example, 277795 + ... + 284285.

Almost surely, 21824230640 is an apocalyptic number.

1824230640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1824230640 is an abundant number, since it is smaller than the sum of its proper divisors (3836585616).

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

1824230640 is a wasteful number, since it uses less digits than its factorization.

1824230640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1824230640 is about 42711.0130996679. The cubic root of 1824230640 is about 1221.8744454530.

The spelling of 1824230640 in words is "one billion, eight hundred twenty-four million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1171 2342 3513 4684 5855 6491 7026 9368 11710 12982 14052 17565 18736 19473 23420 25964 28104 32455 35130 38946 46840 51928 56208 64910 70260 77892 93680 97365 103856 129820 140520 155784 194730 259640 281040 311568 389460 519280 778920 1557840 7600961 15201922 22802883 30403844 38004805 45605766 60807688 76009610 91211532 114014415 121615376 152019220 182423064 228028830 304038440 364846128 456057660 608076880 912115320 1824230640