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5460696 = 2335532
BaseRepresentation
bin10100110101001011011000
3101021102200000
4110311023120
52344220241
6313013000
764262253
oct24651330
911242600
105460696
11309a77a
1219b4160
1311926a7
14a2209a
1572ceb6
hex5352d8

5460696 has 72 divisors (see below), whose sum is σ = 15631980. Its totient is φ = 1785888.

The previous prime is 5460691. The next prime is 5460703. The reversal of 5460696 is 6960645.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5460696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103006 + ... + 103058.

Almost surely, 25460696 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 5460696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815990).

5460696 is an abundant number, since it is smaller than the sum of its proper divisors (10171284).

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

5460696 is an equidigital number, since it uses as much as digits as its factorization.

5460696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5460696 is about 2336.8132146152. The cubic root of 5460696 is about 176.0959359887.

The spelling of 5460696 in words is "five million, four hundred sixty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 954 972 1272 1431 1908 1944 2809 2862 3816 4293 5618 5724 8427 8586 11236 11448 12879 16854 17172 22472 25281 25758 33708 34344 50562 51516 67416 75843 101124 103032 151686 202248 227529 303372 455058 606744 682587 910116 1365174 1820232 2730348 5460696