Search a number
-
+
10451340 = 22325311873
BaseRepresentation
bin100111110111…
…100110001100
3201122222112200
4213313212030
510133420330
61012001500
7154556244
oct47674614
921588480
1010451340
115999279
123600290
13221c133
141560b24
15db6a60
hex9f798c

10451340 has 72 divisors (see below), whose sum is σ = 32742528. Its totient is φ = 2695680.

The previous prime is 10451327. The next prime is 10451347. The reversal of 10451340 is 4315401.

It is a happy number.

It is a super-3 number, since 3×104513403 (a number of 22 digits) contains 333 as substring.

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 (10451347) 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, 4644 + ... + 6516.

Almost surely, 210451340 is an apocalyptic number.

10451340 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 10451340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371264).

10451340 is an abundant number, since it is smaller than the sum of its proper divisors (22291188).

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

10451340 is a wasteful number, since it uses less digits than its factorization.

10451340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10451340 is about 3232.8532289604. The cubic root of 10451340 is about 218.6371673885.

Adding to 10451340 its reverse (4315401), we get a palindrome (14766741).

The spelling of 10451340 in words is "ten million, four hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 1873 2790 3746 5580 5619 7492 9365 11238 16857 18730 22476 28095 33714 37460 56190 58063 67428 84285 112380 116126 168570 174189 232252 290315 337140 348378 522567 580630 696756 870945 1045134 1161260 1741890 2090268 2612835 3483780 5225670 10451340