Search a number
-
+
1044761680 = 2451312761
BaseRepresentation
bin111110010001011…
…100110001010000
32200210220101121001
4332101130301100
54114424333210
6251400511344
734614220264
oct7621346120
92623811531
101044761680
11496816a06
12251a7b554
131385b01a1
149ca800a4
1561ac403a
hex3e45cc50

1044761680 has 60 divisors (see below), whose sum is σ = 2450971476. Its totient is φ = 414169600.

The previous prime is 1044761677. The next prime is 1044761717. The reversal of 1044761680 is 861674401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 923673664 = 11004^2 + 30392^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1372500 + ... + 1373260.

Almost surely, 21044761680 is an apocalyptic number.

1044761680 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 1044761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225485738).

1044761680 is an abundant number, since it is smaller than the sum of its proper divisors (1406209796).

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

1044761680 is an equidigital number, since it uses as much as digits as its factorization.

1044761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 1044761680 is about 32322.7733958582. The cubic root of 1044761680 is about 1014.7033130289.

It can be divided in two parts, 10447 and 61680, that added together give a palindrome (72127).

The spelling of 1044761680 in words is "one billion, forty-four million, seven hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 761 1048 1310 1522 2096 2620 3044 3805 5240 6088 7610 10480 12176 15220 17161 30440 34322 60880 68644 85805 99691 137288 171610 199382 274576 343220 398764 498455 686440 797528 996910 1372880 1595056 1993820 3987640 7975280 13059521 26119042 52238084 65297605 104476168 130595210 208952336 261190420 522380840 1044761680