Search a number
-
+
7149840 = 2435313
BaseRepresentation
bin11011010001100100010000
3111110020201220
4123101210100
53312243330
6413125040
7114526005
oct33214420
914406656
107149840
114043865
122489780
131634499
14d418ac
15963710
hex6d1910

7149840 has 80 divisors (see below), whose sum is σ = 22903296. Its totient is φ = 1845120.

The previous prime is 7149829. The next prime is 7149841. The reversal of 7149840 is 489417.

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

It is a super-2 number, since 2×71498402 = 102240424051200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7149841) 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, 230625 + ... + 230655.

Almost surely, 27149840 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 7149840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451648).

7149840 is an abundant number, since it is smaller than the sum of its proper divisors (15753456).

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

7149840 is an equidigital number, since it uses as much as digits as its factorization.

7149840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 7149840 is about 2673.9184729531. The cubic root of 7149840 is about 192.6484153691.

The spelling of 7149840 in words is "seven million, one hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 29791 38440 46128 57660 59582 76880 89373 115320 119164 148955 178746 230640 238328 297910 357492 446865 476656 595820 714984 893730 1191640 1429968 1787460 2383280 3574920 7149840