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10114020 = 22325723349
BaseRepresentation
bin100110100101…
…001111100100
3201000211211100
4212211033210
510042122040
61000440100
7151652640
oct46451744
921024740
1010114020
1157888a4
123479030
132131737
1414b3c20
15d4bb30
hex9a53e4

10114020 has 144 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 2204928.

The previous prime is 10114019. The next prime is 10114051. The reversal of 10114020 is 2041101.

It is a happy number.

10114020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10113993 and 10114011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28806 + ... + 29154.

It is an arithmetic number, because the mean of its divisors is an integer number (254800).

Almost surely, 210114020 is an apocalyptic number.

10114020 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 10114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

10114020 is an abundant number, since it is smaller than the sum of its proper divisors (26577180).

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

10114020 is a wasteful number, since it uses less digits than its factorization.

10114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10114020 is about 3180.2547067806. The cubic root of 10114020 is about 216.2592052838.

Adding to 10114020 its reverse (2041101), we get a palindrome (12155121).

The spelling of 10114020 in words is "ten million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 349 414 420 460 483 630 644 690 698 805 828 966 1035 1047 1260 1380 1396 1449 1610 1745 1932 2070 2094 2415 2443 2898 3141 3220 3490 4140 4188 4830 4886 5235 5796 6282 6980 7245 7329 8027 9660 9772 10470 12215 12564 14490 14658 15705 16054 20940 21987 24081 24430 28980 29316 31410 32108 36645 40135 43974 48162 48860 56189 62820 72243 73290 80270 87948 96324 109935 112378 120405 144486 146580 160540 168567 219870 224756 240810 280945 288972 337134 361215 439740 481620 505701 561890 674268 722430 842835 1011402 1123780 1444860 1685670 2022804 2528505 3371340 5057010 10114020