Search a number
-
+
1764101020 = 2251113161211
BaseRepresentation
bin110100100100110…
…0000101110011100
311112221110121122211
41221021200232130
512103102213040
6451014450204
761500416443
oct15111405634
94487417584
101764101020
11825875230
12412963964
13221631076
1412a40dd5a
15a4d168ea
hex69260b9c

1764101020 has 48 divisors (see below), whose sum is σ = 4072311936. Its totient is φ = 636584000.

The previous prime is 1764101011. The next prime is 1764101023. The reversal of 1764101020 is 201014671.

It is a super-2 number, since 2×17641010202 = 6224104817530080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1764100982 and 1764101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1764101023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786 + ... + 59425.

It is an arithmetic number, because the mean of its divisors is an integer number (84839832).

Almost surely, 21764101020 is an apocalyptic number.

1764101020 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 1764101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036155968).

1764101020 is an abundant number, since it is smaller than the sum of its proper divisors (2308210916).

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

1764101020 is a wasteful number, since it uses less digits than its factorization.

1764101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61362 (or 61360 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1764101020 is about 42001.2026018303. The cubic root of 1764101020 is about 1208.2991881698.

Adding to 1764101020 its reverse (201014671), we get a palindrome (1965115691).

The spelling of 1764101020 in words is "one billion, seven hundred sixty-four million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 14410 28820 61211 122422 244844 306055 612110 673321 1224220 1346642 2693284 3366605 6733210 8018641 13466420 16037282 32074564 40093205 80186410 88205051 160372820 176410102 352820204 441025255 882050510 1764101020