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10131420 = 22351331419
BaseRepresentation
bin100110101001…
…011111011100
3201001201200210
4212221133130
510043201140
61001052420
7152054445
oct46513734
921051623
1010131420
11579a982
123487110
132139630
1414ba2cc
15d51d80
hex9a97dc

10131420 has 96 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 2407680.

The previous prime is 10131419. The next prime is 10131463. The reversal of 10131420 is 2413101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10131396 and 10131405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23971 + ... + 24389.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 210131420 is an apocalyptic number.

10131420 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 10131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805440).

10131420 is an abundant number, since it is smaller than the sum of its proper divisors (21479460).

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

10131420 is a wasteful number, since it uses less digits than its factorization.

10131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10131420 is about 3182.9891611503. The cubic root of 10131420 is about 216.3831505383.

Adding to 10131420 its reverse (2413101), we get a palindrome (12544521).

The spelling of 10131420 in words is "ten million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 419 465 620 780 806 838 930 1209 1257 1612 1676 1860 2015 2095 2418 2514 4030 4190 4836 5028 5447 6045 6285 8060 8380 10894 12090 12570 12989 16341 21788 24180 25140 25978 27235 32682 38967 51956 54470 64945 65364 77934 81705 108940 129890 155868 163410 168857 194835 259780 326820 337714 389670 506571 675428 779340 844285 1013142 1688570 2026284 2532855 3377140 5065710 10131420