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1143285440 = 26511229527
BaseRepresentation
bin100010000100101…
…0010011011000000
32221200021220210012
41010021102123000
54320140113230
6305240324052
740221523463
oct10411223300
92850256705
101143285440
1153739a300
1227aa73628
13152b27a7b
14abba92da
156a586395
hex442526c0

1143285440 has 84 divisors (see below), whose sum is σ = 2992544688. Its totient is φ = 415726080.

The previous prime is 1143285439. The next prime is 1143285463. The reversal of 1143285440 is 445823411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1143285397 and 1143285406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23957 + ... + 53483.

It is an arithmetic number, because the mean of its divisors is an integer number (35625532).

Almost surely, 21143285440 is an apocalyptic number.

1143285440 is a gapful number since it is divisible by the number (10) 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 1143285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496272344).

1143285440 is an abundant number, since it is smaller than the sum of its proper divisors (1849259248).

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

1143285440 is a wasteful number, since it uses less digits than its factorization.

1143285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29566 (or 29545 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1143285440 is about 33812.5041959332. The cubic root of 1143285440 is about 1045.6465066859.

The spelling of 1143285440 in words is "one billion, one hundred forty-three million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 29527 38720 59054 118108 147635 236216 295270 324797 472432 590540 649594 944864 1181080 1299188 1623985 1889728 2362160 2598376 3247970 3572767 4724320 5196752 6495940 7145534 9448640 10393504 12991880 14291068 17863835 20787008 25983760 28582136 35727670 51967520 57164272 71455340 103935040 114328544 142910680 228657088 285821360 571642720 1143285440