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14890428 = 22327371597
BaseRepresentation
bin111000110011…
…010110111100
31001000111211100
4320303112330
512302443203
61251053100
7240365220
oct70632674
931014740
1014890428
118450443
124ba1190
133114807
141d98780
151491ea3
hexe335bc

14890428 has 72 divisors (see below), whose sum is σ = 44207072. Its totient is φ = 4136832.

The previous prime is 14890397. The next prime is 14890439. The reversal of 14890428 is 82409841.

14890428 is a `hidden beast` number, since 148 + 90 + 428 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14890392 and 14890401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8526 + ... + 10122.

Almost surely, 214890428 is an apocalyptic number.

14890428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14890428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22103536).

14890428 is an abundant number, since it is smaller than the sum of its proper divisors (29316644).

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

14890428 is a wasteful number, since it uses less digits than its factorization.

14890428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14890428 is about 3858.8117342001. The cubic root of 14890428 is about 246.0192330788.

The spelling of 14890428 in words is "fourteen million, eight hundred ninety thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 1597 2331 3108 3194 4662 4791 6388 9324 9582 11179 14373 19164 22358 28746 33537 44716 57492 59089 67074 100611 118178 134148 177267 201222 236356 354534 402444 413623 531801 709068 827246 1063602 1240869 1654492 2127204 2481738 3722607 4963476 7445214 14890428