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10092420 = 223251319227
BaseRepresentation
bin100110011111…
…111110000100
3200222202012100
4212133332010
510040424140
61000152100
7151532652
oct46377604
920882170
1010092420
115773648
123468630
132124960
1414a9dd2
15d45530
hex99ff84

10092420 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2343168.

The previous prime is 10092413. The next prime is 10092421. The reversal of 10092420 is 2429001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10092393 and 10092402.

It is not an unprimeable number, because it can be changed into a prime (10092421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44347 + ... + 44573.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 210092420 is an apocalyptic number.

10092420 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 10092420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10092420 is an abundant number, since it is smaller than the sum of its proper divisors (24764220).

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

10092420 is a wasteful number, since it uses less digits than its factorization.

10092420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10092420 is about 3176.8569372888. The cubic root of 10092420 is about 216.1051442829.

The spelling of 10092420 in words is "ten million, ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 227 228 234 247 260 285 342 380 390 454 468 494 570 585 681 684 741 780 855 908 988 1135 1140 1170 1235 1362 1482 1710 2043 2223 2270 2340 2470 2724 2951 2964 3405 3420 3705 4086 4313 4446 4540 4940 5902 6810 7410 8172 8626 8853 8892 10215 11115 11804 12939 13620 14755 14820 17252 17706 20430 21565 22230 25878 26559 29510 35412 38817 40860 43130 44265 44460 51756 53118 56069 59020 64695 77634 86260 88530 106236 112138 129390 132795 155268 168207 177060 194085 224276 258780 265590 280345 336414 388170 504621 531180 560690 672828 776340 841035 1009242 1121380 1682070 2018484 2523105 3364140 5046210 10092420