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1428192 = 25341929
BaseRepresentation
bin101011100101011100000
32200120010000
411130223200
5331200232
650340000
715065553
oct5345340
92616100
101428192
11896027
1258a600
133b00ac
1429269a
151d327c
hex15cae0

1428192 has 120 divisors (see below), whose sum is σ = 4573800. Its totient is φ = 435456.

The previous prime is 1428179. The next prime is 1428197. The reversal of 1428192 is 2918241.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428197) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49234 + ... + 49262.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

21428192 is an apocalyptic number.

1428192 is a gapful number since it is divisible by the number (12) 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 1428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286900).

1428192 is an abundant number, since it is smaller than the sum of its proper divisors (3145608).

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

1428192 is a wasteful number, since it uses less digits than its factorization.

1428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1428192 is about 1195.0698724342. The cubic root of 1428192 is about 112.6148161136.

The spelling of 1428192 in words is "one million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 29 32 36 38 48 54 57 58 72 76 81 87 96 108 114 116 144 152 162 171 174 216 228 232 261 288 304 324 342 348 432 456 464 513 522 551 608 648 684 696 783 864 912 928 1026 1044 1102 1296 1368 1392 1539 1566 1653 1824 2052 2088 2204 2349 2592 2736 2784 3078 3132 3306 4104 4176 4408 4698 4959 5472 6156 6264 6612 8208 8352 8816 9396 9918 12312 12528 13224 14877 16416 17632 18792 19836 24624 25056 26448 29754 37584 39672 44631 49248 52896 59508 75168 79344 89262 119016 158688 178524 238032 357048 476064 714096 1428192