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6024423040 = 27523414021
BaseRepresentation
bin1011001110001010…
…10110011010000000
3120112212000101210021
411213011112122000
544314223014130
62433444143224
7302201515366
oct54705263200
916485011707
106024423040
1126116a2219
121201697b14
1375016a47c
14412169636
15253d5e37a
hex167156680

6024423040 has 64 divisors (see below), whose sum is σ = 14411871720. Its totient is φ = 2408140800.

The previous prime is 6024423029. The next prime is 6024423061. The reversal of 6024423040 is 403244206.

It can be written as a sum of positive squares in 4 ways, for example, as 3783726144 + 2240696896 = 61512^2 + 47336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 6024422996 and 6024423014.

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, 1496230 + ... + 1500250.

Almost surely, 26024423040 is an apocalyptic number.

It is an amenable number.

6024423040 is an abundant number, since it is smaller than the sum of its proper divisors (8387448680).

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

6024423040 is a wasteful number, since it uses less digits than its factorization.

6024423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 6024423040 is about 77617.1568662496. The cubic root of 6024423040 is about 1819.5827888819.

Adding to 6024423040 its reverse (403244206), we get a palindrome (6427667246).

The spelling of 6024423040 in words is "six billion, twenty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2341 4021 4682 8042 9364 11705 16084 18728 20105 23410 32168 37456 40210 46820 64336 74912 80420 93640 128672 149824 160840 187280 257344 299648 321680 374560 514688 643360 749120 1286720 1498240 2573440 9413161 18826322 37652644 47065805 75305288 94131610 150610576 188263220 301221152 376526440 602442304 753052880 1204884608 1506105760 3012211520 6024423040