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5645040 = 243543547
BaseRepresentation
bin10101100010001011110000
3101121210112120
4111202023300
52421120130
6320554240
765660562
oct25421360
911553476
105645040
113206225
121a82980
13122857b
14a6d332
15767910
hex5622f0

5645040 has 80 divisors (see below), whose sum is σ = 17939328. Its totient is φ = 1467648.

The previous prime is 5645011. The next prime is 5645047. The reversal of 5645040 is 405465.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5645040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10047 + ... + 10593.

Almost surely, 25645040 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 5645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969664).

5645040 is an abundant number, since it is smaller than the sum of its proper divisors (12294288).

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

5645040 is a wasteful number, since it uses less digits than its factorization.

5645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5645040 is about 2375.9292918772. The cubic root of 5645040 is about 178.0556153277.

The spelling of 5645040 in words is "five million, six hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 547 645 688 860 1032 1094 1290 1641 1720 2064 2188 2580 2735 3282 3440 4376 5160 5470 6564 8205 8752 10320 10940 13128 16410 21880 23521 26256 32820 43760 47042 65640 70563 94084 117605 131280 141126 188168 235210 282252 352815 376336 470420 564504 705630 940840 1129008 1411260 1881680 2822520 5645040