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1140456 = 233194161
BaseRepresentation
bin100010110011011101000
32010221102010
410112123220
5242443311
640235520
712456642
oct4263350
92127363
101140456
11709929
1246bba0
1330c135
14219892
15177da6
hex1166e8

1140456 has 64 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 345600.

The previous prime is 1140449. The next prime is 1140463. The reversal of 1140456 is 6540411.

It is an interprime number because it is at equal distance from previous prime (1140449) and next prime (1140463).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18666 + ... + 18726.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

21140456 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 1140456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1140456 is an abundant number, since it is smaller than the sum of its proper divisors (1984344).

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

1140456 is a wasteful number, since it uses less digits than its factorization.

1140456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1140456 is about 1067.9213454183. The cubic root of 1140456 is about 104.4783194112.

Adding to 1140456 its reverse (6540411), we get a palindrome (7680867).

It can be divided in two parts, 1140 and 456, that added together give a triangular number (1596 = T56).

The spelling of 1140456 in words is "one million, one hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 61 76 82 114 122 123 152 164 183 228 244 246 328 366 456 488 492 732 779 984 1159 1464 1558 2318 2337 2501 3116 3477 4636 4674 5002 6232 6954 7503 9272 9348 10004 13908 15006 18696 20008 27816 30012 47519 60024 95038 142557 190076 285114 380152 570228 1140456