Search a number
-
+
1040437700 = 2252531091801
BaseRepresentation
bin111110000000111…
…101000111000100
32200111202201012122
4332000331013010
54112323001300
6251124105112
734532401031
oct7600750704
92614681178
101040437700
11494333275
12250535198
13137728013
149c276388
156151cc85
hex3e03d1c4

1040437700 has 72 divisors (see below), whose sum is σ = 2322741960. Its totient is φ = 404352000.

The previous prime is 1040437693. The next prime is 1040437747. The reversal of 1040437700 is 77340401.

It can be written as a sum of positive squares in 12 ways, for example, as 263477824 + 776959876 = 16232^2 + 27874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1040437700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576800 + ... + 578600.

It is an arithmetic number, because the mean of its divisors is an integer number (32260305).

Almost surely, 21040437700 is an apocalyptic number.

1040437700 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 1040437700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161370980).

1040437700 is an abundant number, since it is smaller than the sum of its proper divisors (1282304260).

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

1040437700 is a wasteful number, since it uses less digits than its factorization.

1040437700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 1040437700 is about 32255.8165297362. The cubic root of 1040437700 is about 1013.3015184591.

The spelling of 1040437700 in words is "one billion, forty million, four hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 109 212 218 265 436 530 545 1060 1090 1325 1801 2180 2650 2725 3602 5300 5450 5777 7204 9005 10900 11554 18010 23108 28885 36020 45025 57770 90050 95453 115540 144425 180100 190906 196309 288850 381812 392618 477265 577700 785236 954530 981545 1909060 1963090 2386325 3926180 4772650 4907725 9545300 9815450 10404377 19630900 20808754 41617508 52021885 104043770 208087540 260109425 520218850 1040437700