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28414540 = 22571118451
BaseRepresentation
bin110110001100…
…1001001001100
31222110121102101
41230121021030
524233231130
62453004444
7463343140
oct154311114
958417371
1028414540
11150482a0
129623724
135b6b44b
143ab9220
1527641ca
hex1b1924c

28414540 has 48 divisors (see below), whose sum is σ = 74398464. Its totient is φ = 8856000.

The previous prime is 28414513. The next prime is 28414541. The reversal of 28414540 is 4541482.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 28414499 and 28414508.

It is not an unprimeable number, because it can be changed into a prime (28414541) 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 15 ways as a sum of consecutive naturals, for example, 7686 + ... + 10765.

It is an arithmetic number, because the mean of its divisors is an integer number (1549968).

Almost surely, 228414540 is an apocalyptic number.

28414540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28414540 is an abundant number, since it is smaller than the sum of its proper divisors (45983924).

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

28414540 is a wasteful number, since it uses less digits than its factorization.

28414540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18478 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 28414540 is about 5330.5290544185. The cubic root of 28414540 is about 305.1501187011.

It can be divided in two parts, 2841 and 4540, that added together give a triangular number (7381 = T121).

The spelling of 28414540 in words is "twenty-eight million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 18451 36902 73804 92255 129157 184510 202961 258314 369020 405922 516628 645785 811844 1014805 1291570 1420727 2029610 2583140 2841454 4059220 5682908 7103635 14207270 28414540