[go: up one dir, main page]

Search a number
-
+
10213740 = 22325179317
BaseRepresentation
bin100110111101…
…100101101100
3201012220121200
4212331211230
510103314430
61002525500
7152546445
oct46754554
921186550
1010213740
115846809
123506890
132167c44
1414dc2cc
15d6b460
hex9bd96c

10213740 has 72 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 2699904.

The previous prime is 10213733. The next prime is 10213741. The reversal of 10213740 is 4731201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10213741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32062 + ... + 32378.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 210213740 is an apocalyptic number.

10213740 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 10213740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

10213740 is an abundant number, since it is smaller than the sum of its proper divisors (21039300).

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

10213740 is a wasteful number, since it uses less digits than its factorization.

10213740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10213740 is about 3195.8942410537. The cubic root of 10213740 is about 216.9676238445.

Adding to 10213740 its reverse (4731201), we get a palindrome (14944941).

It can be divided in two parts, 1021 and 3740, that added together give a square (4761 = 692).

The spelling of 10213740 in words is "ten million, two hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 317 358 537 634 716 895 951 1074 1268 1585 1611 1790 1902 2148 2685 2853 3170 3222 3580 3804 4755 5370 5706 6340 6444 8055 9510 10740 11412 14265 16110 19020 28530 32220 56743 57060 113486 170229 226972 283715 340458 510687 567430 680916 851145 1021374 1134860 1702290 2042748 2553435 3404580 5106870 10213740