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7240128 = 26375387
BaseRepresentation
bin11011100111100111000000
3111121211120220
4123213213000
53323141003
6415103040
7115353150
oct33474700
914554526
107240128
1140a5685
122511a80
1316665cc
14d66760
15980353
hex6e79c0

7240128 has 56 divisors (see below), whose sum is σ = 21896832. Its totient is φ = 2068224.

The previous prime is 7240117. The next prime is 7240133. The reversal of 7240128 is 8210427.

7240128 is digitally balanced in base 4, 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 7240098 and 7240107.

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, 1350 + ... + 4037.

Almost surely, 27240128 is an apocalyptic number.

It is an amenable number.

7240128 is an abundant number, since it is smaller than the sum of its proper divisors (14656704).

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

7240128 is a wasteful number, since it uses less digits than its factorization.

7240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7240128 is about 2690.7485947223. The cubic root of 7240128 is about 193.4559454756.

Subtracting 7240128 from its reverse (8210427), we obtain a cube (970299 = 993).

The spelling of 7240128 in words is "seven million, two hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 5387 10774 16161 21548 32322 37709 43096 64644 75418 86192 113127 129288 150836 172384 226254 258576 301672 344768 452508 517152 603344 905016 1034304 1206688 1810032 2413376 3620064 7240128