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1072428 = 223717751
BaseRepresentation
bin100000101110100101100
32000111002120
410011310230
5233304203
634552540
712054420
oct4056454
92014076
101072428
11672805
12438750
132b7196
141dcb80
15162b53
hex105d2c

1072428 has 48 divisors (see below), whose sum is σ = 3032064. Its totient is φ = 288000.

The previous prime is 1072397. The next prime is 1072429. The reversal of 1072428 is 8242701.

It is a junction number, because it is equal to n+sod(n) for n = 1072398 and 1072407.

It is not an unprimeable number, because it can be changed into a prime (1072429) 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, 1053 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (63168).

21072428 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 1072428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516032).

1072428 is an abundant number, since it is smaller than the sum of its proper divisors (1959636).

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

1072428 is a wasteful number, since it uses less digits than its factorization.

1072428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1072428 is about 1035.5809963494. The cubic root of 1072428 is about 102.3582176136.

The spelling of 1072428 in words is "one million, seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 751 1428 1502 2253 3004 4506 5257 9012 10514 12767 15771 21028 25534 31542 38301 51068 63084 76602 89369 153204 178738 268107 357476 536214 1072428