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7266132 = 2233193541
BaseRepresentation
bin11011101101111101010100
3111200011021000
4123231331110
53330004012
6415423300
7115522026
oct33557524
914604230
107266132
114113175
122524b30
1316753b3
14d72016
15987ddc
hex6edf54

7266132 has 48 divisors (see below), whose sum is σ = 19835200. Its totient is φ = 2293920.

The previous prime is 7266109. The next prime is 7266139. The reversal of 7266132 is 2316627.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7266096 and 7266105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7266139) 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, 282 + ... + 3822.

Almost surely, 27266132 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 7266132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917600).

7266132 is an abundant number, since it is smaller than the sum of its proper divisors (12569068).

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

7266132 is a wasteful number, since it uses less digits than its factorization.

7266132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3565 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 7266132 is about 2695.5763762134. The cubic root of 7266132 is about 193.6872773730.

It can be divided in two parts, 726613 and 2, that added together give a triangular number (726615 = T1205).

The spelling of 7266132 in words is "seven million, two hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 3541 7082 10623 14164 21246 31869 42492 63738 67279 95607 127476 134558 191214 201837 269116 382428 403674 605511 807348 1211022 1816533 2422044 3633066 7266132