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10301424 = 2437233143
BaseRepresentation
bin100111010010…
…111111110000
3201101100220020
4213102333300
510114121144
61004443440
7153363210
oct47227760
921340806
1010301424
1158a6681
123549580
132198b23
141522240
15d87419
hex9d2ff0

10301424 has 160 divisors (see below), whose sum is σ = 33521664. Its totient is φ = 2661120.

The previous prime is 10301399. The next prime is 10301443. The reversal of 10301424 is 42410301.

It is a super-2 number, since 2×103014242 = 212238672855552, which contains 22 as substring.

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, 239547 + ... + 239589.

Almost surely, 210301424 is an apocalyptic number.

10301424 is a gapful number since it is divisible by the number (14) 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 10301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760832).

10301424 is an abundant number, since it is smaller than the sum of its proper divisors (23220240).

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

10301424 is a wasteful number, since it uses less digits than its factorization.

10301424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

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

The square root of 10301424 is about 3209.5831505041. The cubic root of 10301424 is about 217.5867377658.

Adding to 10301424 its reverse (42410301), we get a palindrome (52711725).

The spelling of 10301424 in words is "ten million, three hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 43 46 48 56 62 69 84 86 92 93 112 124 129 138 161 168 172 184 186 217 248 258 276 301 322 336 344 368 372 434 483 496 516 552 602 644 651 688 713 744 868 903 966 989 1032 1104 1204 1288 1302 1333 1426 1488 1736 1806 1932 1978 2064 2139 2408 2576 2604 2666 2852 2967 3472 3612 3864 3956 3999 4278 4816 4991 5208 5332 5704 5934 6923 7224 7728 7912 7998 8556 9331 9982 10416 10664 11408 11868 13846 14448 14973 15824 15996 17112 18662 19964 20769 21328 23736 27692 27993 29946 30659 31992 34224 37324 39928 41538 47472 55384 55986 59892 61318 63984 74648 79856 83076 91977 110768 111972 119784 122636 149296 166152 183954 214613 223944 239568 245272 332304 367908 429226 447888 490544 643839 735816 858452 1287678 1471632 1716904 2575356 3433808 5150712 10301424