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2724134640 = 243511350561
BaseRepresentation
bin1010001001011110…
…1111111011110000
321000211221101012120
42202113233323300
521034334302030
61130151354240
7124335522333
oct24227577360
97024841176
102724134640
111178780747
12640382980
133454b6ab6
141bbb1661a
1510e251010
hexa25efef0

2724134640 has 40 divisors (see below), whose sum is σ = 8444818128. Its totient is φ = 726435840.

The previous prime is 2724134599. The next prime is 2724134653. The reversal of 2724134640 is 464314272.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5675041 + ... + 5675520.

Almost surely, 22724134640 is an apocalyptic number.

2724134640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2724134640 is an abundant number, since it is smaller than the sum of its proper divisors (5720683488).

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

2724134640 is a wasteful number, since it uses less digits than its factorization.

2724134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350577 (or 11350571 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2724134640 is about 52193.2432408640. The cubic root of 2724134640 is about 1396.6133516013.

The spelling of 2724134640 in words is "two billion, seven hundred twenty-four million, one hundred thirty-four 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 11350561 22701122 34051683 45402244 56752805 68103366 90804488 113505610 136206732 170258415 181608976 227011220 272413464 340516830 454022440 544826928 681033660 908044880 1362067320 2724134640