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1402128 = 2432713107
BaseRepresentation
bin101010110010100010000
32122020100200
411112110100
5324332003
650015200
714626560
oct5262420
92566320
101402128
11878492
12577500
133a1280
14286da0
151ca6a3
hex156510

1402128 has 120 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 366336.

The previous prime is 1402127. The next prime is 1402129. The reversal of 1402128 is 8212041.

It is an interprime number because it is at equal distance from previous prime (1402127) and next prime (1402129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1402128.

It is not an unprimeable number, because it can be changed into a prime (1402123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13051 + ... + 13157.

21402128 is an apocalyptic number.

1402128 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 1402128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1402128 is an abundant number, since it is smaller than the sum of its proper divisors (3472560).

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

1402128 is a wasteful number, since it uses less digits than its factorization.

1402128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1402128 is about 1184.1148592936. The cubic root of 1402128 is about 111.9255457541.

Adding to 1402128 its reverse (8212041), we get a palindrome (9614169).

The spelling of 1402128 in words is "one million, four hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 107 112 117 126 144 156 168 182 208 214 234 252 273 312 321 336 364 428 468 504 546 624 642 728 749 819 856 936 963 1008 1092 1284 1391 1456 1498 1638 1712 1872 1926 2184 2247 2568 2782 2996 3276 3852 4173 4368 4494 5136 5564 5992 6552 6741 7704 8346 8988 9737 11128 11984 12519 13104 13482 15408 16692 17976 19474 22256 25038 26964 29211 33384 35952 38948 50076 53928 58422 66768 77896 87633 100152 107856 116844 155792 175266 200304 233688 350532 467376 701064 1402128