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6740024928 = 2537131993877
BaseRepresentation
bin1100100011011110…
…01001111001100000
3122101201112202000220
412101233021321200
5102300421244203
63032450043040
7326011160310
oct62157117140
918351482026
106740024928
11294962853a
121381279480
138354b0140
1447d205440
15296ab4653
hex191bc9e60

6740024928 has 192 divisors, whose sum is σ = 21890534400. Its totient is φ = 1768200192.

The previous prime is 6740024923. The next prime is 6740024971. The reversal of 6740024928 is 8294200476.

It is a super-2 number, since 2×67400249282 = 90855872060122810368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6740024928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740024923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736526 + ... + 1740402.

It is an arithmetic number, because the mean of its divisors is an integer number (114013200).

Almost surely, 26740024928 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 6740024928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945267200).

6740024928 is an abundant number, since it is smaller than the sum of its proper divisors (15150509472).

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

6740024928 is a wasteful number, since it uses less digits than its factorization.

6740024928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6740024928 is about 82097.6548264322. The cubic root of 6740024928 is about 1888.9501674996.

The spelling of 6740024928 in words is "six billion, seven hundred forty million, twenty-four thousand, nine hundred twenty-eight".