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1429128 = 233223863
BaseRepresentation
bin101011100111010001000
32200121101200
411130322020
5331213003
650344200
715101361
oct5347210
92617350
101429128
118967a8
1258b060
133b064c
14292b68
151d36a3
hex15ce88

1429128 has 48 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 455136.

The previous prime is 1429117. The next prime is 1429133. The reversal of 1429128 is 8219241.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

21429128 is an apocalyptic number.

1429128 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 1429128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021760).

1429128 is an abundant number, since it is smaller than the sum of its proper divisors (2614392).

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

1429128 is a wasteful number, since it uses less digits than its factorization.

1429128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 891 counting only the distinct ones).

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

The square root of 1429128 is about 1195.4614171942. The cubic root of 1429128 is about 112.6394123511.

The spelling of 1429128 in words is "one million, four hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 863 1656 1726 2589 3452 5178 6904 7767 10356 15534 19849 20712 31068 39698 59547 62136 79396 119094 158792 178641 238188 357282 476376 714564 1429128