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6040073424 = 24371123411733
BaseRepresentation
bin1011010000000010…
…00011010011010000
3120120221110112002010
411220001003103100
544332224322144
62435203422520
7302451530340
oct55001032320
916527415063
106040073424
11261a511620
121206984a40
13753489b58
14414280d20
152554015b9
hex1680434d0

6040073424 has 320 divisors, whose sum is σ = 20806668288. Its totient is φ = 1463193600.

The previous prime is 6040073423. The next prime is 6040073437. The reversal of 6040073424 is 4243700406.

It is a super-2 number, since 2×60400734242 = 72964973934622167552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6040073391 and 6040073400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6040073423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3484462 + ... + 3486194.

Almost surely, 26040073424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6040073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403334144).

6040073424 is an abundant number, since it is smaller than the sum of its proper divisors (14766594864).

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

6040073424 is a wasteful number, since it uses less digits than its factorization.

6040073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 6040073424 is about 77717.9092873708. The cubic root of 6040073424 is about 1821.1570776925.

The spelling of 6040073424 in words is "six billion, forty million, seventy-three thousand, four hundred twenty-four".