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1768104936 = 23361323321
BaseRepresentation
bin110100101100011…
…0010001111101000
311120020000001000000
41221120302033220
512110113324221
6451240343000
761546433613
oct15130621750
94506001000
101768104936
1182805a454
12414174a60
13222403650
1412ab7317a
15a5357e26
hex696323e8

1768104936 has 112 divisors (see below), whose sum is σ = 5353098660. Its totient is φ = 544008960.

The previous prime is 1768104931. The next prime is 1768104953. The reversal of 1768104936 is 6394018671.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1688716836 + 79388100 = 41094^2 + 8910^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1768104891 and 1768104900.

It is not an unprimeable number, because it can be changed into a prime (1768104931) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64156 + ... + 87476.

Almost surely, 21768104936 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 1768104936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676549330).

1768104936 is an abundant number, since it is smaller than the sum of its proper divisors (3584993724).

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

1768104936 is a wasteful number, since it uses less digits than its factorization.

1768104936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23358 (or 23339 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1768104936 is about 42048.8398888721. The cubic root of 1768104936 is about 1209.2126416982.

The spelling of 1768104936 in words is "one billion, seven hundred sixty-eight million, one hundred four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 18954 23321 25272 37908 46642 69963 75816 93284 139926 186568 209889 279852 303173 419778 559704 606346 629667 839556 909519 1212692 1259334 1679112 1819038 1889001 2425384 2518668 2728557 3638076 3778002 5037336 5457114 5667003 7276152 7556004 8185671 10914228 11334006 15112008 16371342 17001009 21828456 22668012 24557013 32742684 34002018 45336024 49114026 65485368 68004036 73671039 98228052 136008072 147342078 196456104 221013117 294684156 442026234 589368312 884052468 1768104936