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240716640 = 2535501493
BaseRepresentation
bin11100101100100…
…00101101100000
3121202221200011010
432112100231200
5443110413030
635515220520
75652025533
oct1626205540
9552850133
10240716640
11113972a7a
1268747740
133ab420a8
1423d80a1a
15161ed6b0
hexe590b60

240716640 has 48 divisors (see below), whose sum is σ = 758258928. Its totient is φ = 64190976.

The previous prime is 240716629. The next prime is 240716659. The reversal of 240716640 is 46617042.

240716640 is digitally balanced in base 3, 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 Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240716598 and 240716607.

It is a congruent number.

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, 250267 + ... + 251226.

It is an arithmetic number, because the mean of its divisors is an integer number (15797061).

Almost surely, 2240716640 is an apocalyptic number.

240716640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240716640 is an abundant number, since it is smaller than the sum of its proper divisors (517542288).

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

240716640 is a wasteful number, since it uses less digits than its factorization.

240716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501511 (or 501503 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 240716640 is about 15515.0456009642. The cubic root of 240716640 is about 622.0644329677.

The spelling of 240716640 in words is "two hundred forty million, seven hundred sixteen thousand, six 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 501493 1002986 1504479 2005972 2507465 3008958 4011944 5014930 6017916 7522395 8023888 10029860 12035832 15044790 16047776 20059720 24071664 30089580 40119440 48143328 60179160 80238880 120358320 240716640