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7145040 = 243574253
BaseRepresentation
bin11011010000011001010000
3111110000011010
4123100121100
53312120130
6413050520
7114506010
oct33203120
914400133
107145040
1140401a1
122486a40
131632246
14d3dc40
159620b0
hex6d0650

7145040 has 80 divisors (see below), whose sum is σ = 25319808. Its totient is φ = 1632768.

The previous prime is 7145011. The next prime is 7145041. The reversal of 7145040 is 405417.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 7144998 and 7145016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145041) 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, 447 + ... + 3806.

Almost surely, 27145040 is an apocalyptic number.

7145040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659904).

7145040 is an abundant number, since it is smaller than the sum of its proper divisors (18174768).

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

7145040 is a wasteful number, since it uses less digits than its factorization.

7145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 7145040 is about 2673.0207631068. The cubic root of 7145040 is about 192.6052946185.

The spelling of 7145040 in words is "seven million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4253 8506 12759 17012 21265 25518 29771 34024 42530 51036 59542 63795 68048 85060 89313 102072 119084 127590 148855 170120 178626 204144 238168 255180 297710 340240 357252 446565 476336 510360 595420 714504 893130 1020720 1190840 1429008 1786260 2381680 3572520 7145040