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2017428 = 223724773
BaseRepresentation
bin111101100100010010100
310210111101120
413230202110
51004024203
6111123540
723101500
oct7544224
93714346
102017428
1111587a6
128135b0
1355835a
143a7300
1529cb53
hex1ec894

2017428 has 72 divisors (see below), whose sum is σ = 5668992. Its totient is φ = 556416.

The previous prime is 2017427. The next prime is 2017447. The reversal of 2017428 is 8247102.

It is a junction number, because it is equal to n+sod(n) for n = 2017398 and 2017407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017427) 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, 27600 + ... + 27672.

It is an arithmetic number, because the mean of its divisors is an integer number (78736).

22017428 is an apocalyptic number.

2017428 is a gapful number since it is divisible by the number (28) 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 2017428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834496).

2017428 is an abundant number, since it is smaller than the sum of its proper divisors (3651564).

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

2017428 is a wasteful number, since it uses less digits than its factorization.

2017428 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 896, while the sum is 24.

The square root of 2017428 is about 1420.3619257077. The cubic root of 2017428 is about 126.3570121670.

It can be divided in two parts, 20174 and 28, that added together give a palindrome (20202).

The spelling of 2017428 in words is "two million, seventeen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 73 84 94 98 141 146 147 188 196 219 282 292 294 329 438 511 564 588 658 876 987 1022 1316 1533 1974 2044 2303 3066 3431 3577 3948 4606 6132 6862 6909 7154 9212 10293 10731 13724 13818 14308 20586 21462 24017 27636 41172 42924 48034 72051 96068 144102 168119 288204 336238 504357 672476 1008714 2017428