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1426128 = 243113773
BaseRepresentation
bin101011100001011010000
32200110021120
411130023100
5331114003
650322240
715056544
oct5341320
92613246
101426128
11894520
12589380
133ac182
14291a24
151d2853
hex15c2d0

1426128 has 80 divisors (see below), whose sum is σ = 4184256. Its totient is φ = 414720.

The previous prime is 1426127. The next prime is 1426129. The reversal of 1426128 is 8216241.

It is an interprime number because it is at equal distance from previous prime (1426127) and next prime (1426129).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 1426098 and 1426107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19500 + ... + 19572.

21426128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092128).

1426128 is an abundant number, since it is smaller than the sum of its proper divisors (2758128).

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

1426128 is a wasteful number, since it uses less digits than its factorization.

1426128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1426128 is about 1194.2060123781. The cubic root of 1426128 is about 112.5605402548.

The spelling of 1426128 in words is "one million, four hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 73 74 88 111 132 146 148 176 219 222 264 292 296 407 438 444 528 584 592 803 814 876 888 1168 1221 1606 1628 1752 1776 2409 2442 2701 3212 3256 3504 4818 4884 5402 6424 6512 8103 9636 9768 10804 12848 16206 19272 19536 21608 29711 32412 38544 43216 59422 64824 89133 118844 129648 178266 237688 356532 475376 713064 1426128