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15390918240 = 253532064413
BaseRepresentation
bin11100101010101111…
…01100011001100000
31110201121201122200220
432111113230121200
5223010033340430
611023120443040
71053254434515
oct162527543140
943647648626
1015390918240
116588854745
122b96479480
1315b382aa19
14a6010330c
156012d2110
hex3955ec660

15390918240 has 48 divisors (see below), whose sum is σ = 48481393968. Its totient is φ = 4104244736.

The previous prime is 15390918203. The next prime is 15390918259. The reversal of 15390918240 is 4281909351.

15390918240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 15390918192 and 15390918201.

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 7 ways as a sum of consecutive naturals, for example, 16031727 + ... + 16032686.

It is an arithmetic number, because the mean of its divisors is an integer number (1010029041).

Almost surely, 215390918240 is an apocalyptic number.

15390918240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15390918240 is an abundant number, since it is smaller than the sum of its proper divisors (33090475728).

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

15390918240 is a wasteful number, since it uses less digits than its factorization.

15390918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064431 (or 32064423 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 15390918240 in words is "fifteen billion, three hundred ninety million, nine hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 32064413 64128826 96193239 128257652 160322065 192386478 256515304 320644130 384772956 480966195 513030608 641288260 769545912 961932390 1026061216 1282576520 1539091824 1923864780 2565153040 3078183648 3847729560 5130306080 7695459120 15390918240