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10234640 = 245132757
BaseRepresentation
bin100111000010…
…101100010000
3201020222021202
4213002230100
510110002030
61003210332
7152664413
oct47025420
921228252
1010234640
115860489
1235169a8
132174600
141505b7a
15d72745
hex9c2b10

10234640 has 60 divisors (see below), whose sum is σ = 25800804. Its totient is φ = 3773952.

The previous prime is 10234639. The next prime is 10234649. The reversal of 10234640 is 4643201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 8667136 = 1252^2 + 2944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10234649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13142 + ... + 13898.

Almost surely, 210234640 is an apocalyptic number.

10234640 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 10234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900402).

10234640 is an abundant number, since it is smaller than the sum of its proper divisors (15566164).

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

10234640 is a wasteful number, since it uses less digits than its factorization.

10234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10234640 is about 3199.1623903766. The cubic root of 10234640 is about 217.1155139690.

Adding to 10234640 its reverse (4643201), we get a palindrome (14877841).

The spelling of 10234640 in words is "ten million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 757 845 1040 1352 1514 1690 2704 3028 3380 3785 6056 6760 7570 9841 12112 13520 15140 19682 30280 39364 49205 60560 78728 98410 127933 157456 196820 255866 393640 511732 639665 787280 1023464 1279330 2046928 2558660 5117320 10234640