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1781426136 = 233789283421
BaseRepresentation
bin110101000101110…
…0110011111011000
311121011001211020210
41222023212133120
512122021114021
6452434051120
762100605130
oct15213463730
94534054223
101781426136
11834628906
12418719aa0
132250b8b09
1412c83dac0
15a65d9e76
hex6a2e67d8

1781426136 has 128 divisors (see below), whose sum is σ = 5177433600. Its totient is φ = 500290560.

The previous prime is 1781426099. The next prime is 1781426159. The reversal of 1781426136 is 6316241871.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1781426094 and 1781426103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231206 + ... + 4231626.

It is an arithmetic number, because the mean of its divisors is an integer number (40448700).

Almost surely, 21781426136 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 1781426136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588716800).

1781426136 is an abundant number, since it is smaller than the sum of its proper divisors (3396007464).

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

1781426136 is a wasteful number, since it uses less digits than its factorization.

1781426136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1781426136 is about 42206.9441679921. The cubic root of 1781426136 is about 1212.2418506786.

The spelling of 1781426136 in words is "one billion, seven hundred eighty-one million, four hundred twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 283 356 421 534 566 623 712 842 849 1068 1132 1246 1263 1684 1698 1869 1981 2136 2264 2492 2526 2947 3368 3396 3738 3962 4984 5052 5894 5943 6792 7476 7924 8841 10104 11788 11886 14952 15848 17682 23576 23772 25187 35364 37469 47544 50374 70728 74938 75561 100748 112407 119143 149876 151122 176309 201496 224814 238286 262283 299752 302244 352618 357429 449628 476572 524566 528927 604488 705236 714858 786849 834001 899256 953144 1049132 1057854 1410472 1429716 1573698 1668002 2098264 2115708 2502003 2859432 3147396 3336004 4231416 5004006 6294792 6672008 10008012 10603727 20016024 21207454 31811181 42414908 63622362 74226089 84829816 127244724 148452178 222678267 254489448 296904356 445356534 593808712 890713068 1781426136