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1428976 = 24314367
BaseRepresentation
bin101011100110111110000
32200121012001
411130313300
5331211401
650343344
715101053
oct5346760
92617161
101428976
1189667a
1258ab54
133b0563
14292a9a
151d3601
hex15cdf0

1428976 has 40 divisors (see below), whose sum is σ = 2968064. Its totient is φ = 665280.

The previous prime is 1428953. The next prime is 1428979. The reversal of 1428976 is 6798241.

1428976 = T288 + T289 + ... + T318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21295 + ... + 21361.

21428976 is an apocalyptic number.

1428976 is a gapful number since it is divisible by the number (16) 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 1428976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484032).

1428976 is an abundant number, since it is smaller than the sum of its proper divisors (1539088).

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

1428976 is a wasteful number, since it uses less digits than its factorization.

1428976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 1428976 is about 1195.3978417247. The cubic root of 1428976 is about 112.6354188209.

It can be divided in two parts, 14289 and 76, that added together give a triangular number (14365 = T169).

The spelling of 1428976 in words is "one million, four hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 43 62 67 86 124 134 172 248 268 344 496 536 688 1072 1333 2077 2666 2881 4154 5332 5762 8308 10664 11524 16616 21328 23048 33232 46096 89311 178622 357244 714488 1428976