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6045040 = 245194197
BaseRepresentation
bin10111000011110101110000
3102101010020101
4113003311300
53021420130
6333322144
7102245011
oct27036560
912333211
106045040
113459801
122036354
131338661
14b35008
157e61ca
hex5c3d70

6045040 has 80 divisors (see below), whose sum is σ = 15311520. Its totient is φ = 2211840.

The previous prime is 6045037. The next prime is 6045041. The reversal of 6045040 is 405406.

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 (19).

It is a junction number, because it is equal to n+sod(n) for n = 6044999 and 6045017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6045041) 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, 62272 + ... + 62368.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 26045040 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 6045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655760).

6045040 is an abundant number, since it is smaller than the sum of its proper divisors (9266480).

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

6045040 is a wasteful number, since it uses less digits than its factorization.

6045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 6045040 is about 2458.6663051337. Note that the first 3 decimals coincide. The cubic root of 6045040 is about 182.1656102368.

The spelling of 6045040 in words is "six million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 97 152 164 190 194 205 304 328 380 388 410 485 656 760 776 779 820 970 1520 1552 1558 1640 1843 1940 3116 3280 3686 3880 3895 3977 6232 7372 7760 7790 7954 9215 12464 14744 15580 15908 18430 19885 29488 31160 31816 36860 39770 62320 63632 73720 75563 79540 147440 151126 159080 302252 318160 377815 604504 755630 1209008 1511260 3022520 6045040