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7125840 = 243353299
BaseRepresentation
bin11011001011101101010000
3111102000211000
4123023231100
53311011330
6412422000
7114366021
oct33135520
914360730
107125840
114027827
122477900
131626597
14d36c48
1595b560
hex6cbb50

7125840 has 80 divisors (see below), whose sum is σ = 24552000. Its totient is φ = 1899648.

The previous prime is 7125829. The next prime is 7125847. The reversal of 7125840 is 485217.

7125840 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7125847) 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, 511 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 27125840 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 7125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276000).

7125840 is an abundant number, since it is smaller than the sum of its proper divisors (17426160).

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

7125840 is a wasteful number, since it uses less digits than its factorization.

7125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7125840 is about 2669.4269047869. The cubic root of 7125840 is about 192.4326182338.

The spelling of 7125840 in words is "seven million, one hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3299 6598 9897 13196 16495 19794 26392 29691 32990 39588 49485 52784 59382 65980 79176 89073 98970 118764 131960 148455 158352 178146 197940 237528 263920 296910 356292 395880 445365 475056 593820 712584 791760 890730 1187640 1425168 1781460 2375280 3562920 7125840