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1140654042 = 2331123292879
BaseRepresentation
bin100001111111100…
…1111111111011010
32221111100020012000
41003333033333122
54314001412132
6305104101430
740160253663
oct10377177732
92844306160
101140654042
115359622a0
1227a004876
13152416128
14ab6c236a
156a21687c
hex43fcffda

1140654042 has 128 divisors (see below), whose sum is σ = 2985984000. Its totient is φ = 319112640.

The previous prime is 1140654007. The next prime is 1140654043. The reversal of 1140654042 is 2404560411.

1140654042 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 654 + 0 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140653997 and 1140654015.

It is not an unprimeable number, because it can be changed into a prime (1140654043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394759 + ... + 397637.

It is an arithmetic number, because the mean of its divisors is an integer number (23328000).

Almost surely, 21140654042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140654042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492992000).

1140654042 is an abundant number, since it is smaller than the sum of its proper divisors (1845329958).

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

1140654042 is a wasteful number, since it uses less digits than its factorization.

1140654042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1140654042 is about 33773.5701695868. The cubic root of 1140654042 is about 1044.8436667000.

The spelling of 1140654042 in words is "one billion, one hundred forty million, six hundred fifty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 29 33 46 54 58 66 69 87 99 138 174 198 207 253 261 297 319 414 506 522 594 621 638 667 759 783 957 1242 1334 1518 1566 1914 2001 2277 2871 2879 4002 4554 5742 5758 6003 6831 7337 8613 8637 12006 13662 14674 17226 17274 18009 22011 25911 31669 36018 44022 51822 63338 66033 66217 77733 83491 95007 132066 132434 155466 166982 190014 198099 198651 250473 285021 396198 397302 500946 570042 595953 728387 751419 855063 918401 1191906 1456774 1502838 1710126 1787859 1836802 1920293 2185161 2254257 2755203 3575718 3840586 4370322 4508514 5510406 5760879 6555483 8265609 11521758 13110966 16531218 17282637 19666449 21123223 24796827 34565274 39332898 42246446 49593654 51847911 63369669 103695822 126739338 190109007 380218014 570327021 1140654042