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7268040 = 23325131553
BaseRepresentation
bin11011101110011011001000
3111200020212200
4123232123020
53330034130
6415440200
7115530423
oct33563310
914606780
107268040
11411464a
122526060
131676220
14d729ba
15988760
hex6ee6c8

7268040 has 96 divisors (see below), whose sum is σ = 25454520. Its totient is φ = 1787904.

The previous prime is 7268039. The next prime is 7268081. The reversal of 7268040 is 408627.

It can be written as a sum of positive squares in 4 ways, for example, as 2883204 + 4384836 = 1698^2 + 2094^2 .

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7267995 and 7268013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3904 + ... + 5456.

Almost surely, 27268040 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 7268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727260).

7268040 is an abundant number, since it is smaller than the sum of its proper divisors (18186480).

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

7268040 is a wasteful number, since it uses less digits than its factorization.

7268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7268040 is about 2695.9302661605. The cubic root of 7268040 is about 193.7042292159.

The spelling of 7268040 in words is "seven million, two hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1553 1560 2340 3106 4659 4680 6212 7765 9318 12424 13977 15530 18636 20189 23295 27954 31060 37272 40378 46590 55908 60567 62120 69885 80756 93180 100945 111816 121134 139770 161512 181701 186360 201890 242268 279540 302835 363402 403780 484536 559080 605670 726804 807560 908505 1211340 1453608 1817010 2422680 3634020 7268040