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10234140 = 223572592
BaseRepresentation
bin100111000010…
…100100011100
3201020221121020
4213002210130
510104443030
61003204140
7152663100
oct47024434
921227536
1010234140
115860074
123516650
132174307
141505900
15d72510
hex9c291c

10234140 has 108 divisors (see below), whose sum is σ = 33908616. Its totient is φ = 2299584.

The previous prime is 10234127. The next prime is 10234151. The reversal of 10234140 is 4143201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173431 + ... + 173489.

Almost surely, 210234140 is an apocalyptic number.

10234140 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 10234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954308).

10234140 is an abundant number, since it is smaller than the sum of its proper divisors (23674476).

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

10234140 is a wasteful number, since it uses less digits than its factorization.

10234140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10234140 is about 3199.0842439673. The cubic root of 10234140 is about 217.1119782796. Note that the first 3 decimals are identical.

Multiplying 10234140 by its sum of digits (15), we get a square (153512100 = 123902).

10234140 divided by its sum of digits (15) gives a square (682276 = 8262).

Adding to 10234140 its reverse (4143201), we get a palindrome (14377341).

The spelling of 10234140 in words is "ten million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 59 60 70 84 98 105 118 140 147 177 196 210 236 245 294 295 354 413 420 490 588 590 708 735 826 885 980 1180 1239 1470 1652 1770 2065 2478 2891 2940 3481 3540 4130 4956 5782 6195 6962 8260 8673 10443 11564 12390 13924 14455 17346 17405 20886 24367 24780 28910 34692 34810 41772 43365 48734 52215 57820 69620 73101 86730 97468 104430 121835 146202 170569 173460 208860 243670 292404 341138 365505 487340 511707 682276 731010 852845 1023414 1462020 1705690 2046828 2558535 3411380 5117070 10234140