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13419828 = 2232372773
BaseRepresentation
bin110011001100…
…010100110100
3221020210112200
4303030110310
511413413303
61155344500
7222031602
oct63142464
927223480
1013419828
117636574
1245b2130
132a1b336
141ad4872
1512a13a3
hexccc534

13419828 has 18 divisors (see below), whose sum is σ = 33922434. Its totient is φ = 4473264.

The previous prime is 13419821. The next prime is 13419829. The reversal of 13419828 is 82891431.

It can be written as a sum of positive squares in only one way, i.e., 7717284 + 5702544 = 2778^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 372773 = 13419828 / (1 + 3 + 4 + 1 + 9 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 13419792 and 13419801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13419821) 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 5 ways as a sum of consecutive naturals, for example, 186351 + ... + 186422.

Almost surely, 213419828 is an apocalyptic number.

13419828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13419828 is an abundant number, since it is smaller than the sum of its proper divisors (20502606).

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

13419828 is a wasteful number, since it uses less digits than its factorization.

13419828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372783 (or 372778 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13419828 is about 3663.3083408307. The cubic root of 13419828 is about 237.6378693508.

The spelling of 13419828 in words is "thirteen million, four hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 372773 745546 1118319 1491092 2236638 3354957 4473276 6709914 13419828