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1456056 = 23357107
BaseRepresentation
bin101100011011110111000
32201222100000
411203132320
5333043211
651113000
715243030
oct5433670
92658300
101456056
11904a58
125a2760
133bc994
1429c8c0
151db656
hex1637b8

1456056 has 96 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 412128.

The previous prime is 1456019. The next prime is 1456057. The reversal of 1456056 is 6506541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456057) 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, 13555 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

21456056 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 1456056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1456056 is an abundant number, since it is smaller than the sum of its proper divisors (3261384).

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

1456056 is a wasteful number, since it uses less digits than its factorization.

1456056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1456056 is about 1206.6714548708. The cubic root of 1456056 is about 113.3424752333.

The spelling of 1456056 in words is "one million, four hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 107 108 126 162 168 189 214 216 243 252 321 324 378 428 486 504 567 642 648 749 756 856 963 972 1134 1284 1498 1512 1701 1926 1944 2247 2268 2568 2889 2996 3402 3852 4494 4536 5778 5992 6741 6804 7704 8667 8988 11556 13482 13608 17334 17976 20223 23112 26001 26964 34668 40446 52002 53928 60669 69336 80892 104004 121338 161784 182007 208008 242676 364014 485352 728028 1456056