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1140672 = 26313457
BaseRepresentation
bin100010110011111000000
32010221201010
410112133000
5243000142
640240520
712460401
oct4263700
92127633
101140672
1170a005
12470140
1330c270
142199a8
15177e9c
hex1167c0

1140672 has 56 divisors (see below), whose sum is σ = 3257296. Its totient is φ = 350208.

The previous prime is 1140637. The next prime is 1140677. The reversal of 1140672 is 2760411.

It is a super-3 number, since 3×11406723 = 4452496614962233344, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2268 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (58166).

21140672 is an apocalyptic number.

1140672 is a gapful number since it is divisible by the number (12) 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 1140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628648).

1140672 is an abundant number, since it is smaller than the sum of its proper divisors (2116624).

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

1140672 is a wasteful number, since it uses less digits than its factorization.

1140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1140672 is about 1068.0224716737. The cubic root of 1140672 is about 104.4849149871.

The spelling of 1140672 in words is "one million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 457 624 832 914 1248 1371 1828 2496 2742 3656 5484 5941 7312 10968 11882 14624 17823 21936 23764 29248 35646 43872 47528 71292 87744 95056 142584 190112 285168 380224 570336 1140672