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10203424 = 2571141101
BaseRepresentation
bin100110111011…
…000100100000
3201012101110121
4212323010200
510103002144
61002410024
7152504410
oct46730440
921171417
1010203424
115839a90
123500914
13216333a
1414d8640
15d68384
hex9bb120

10203424 has 96 divisors (see below), whose sum is σ = 25909632. Its totient is φ = 3840000.

The previous prime is 10203397. The next prime is 10203443. The reversal of 10203424 is 42430201.

It is a super-2 number, since 2×102034242 = 208219722647552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10203398 and 10203407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100974 + ... + 101074.

It is an arithmetic number, because the mean of its divisors is an integer number (269892).

Almost surely, 210203424 is an apocalyptic number.

10203424 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 10203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816).

10203424 is an abundant number, since it is smaller than the sum of its proper divisors (15706208).

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

10203424 is a wasteful number, since it uses less digits than its factorization.

10203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10203424 is about 3194.2798875490. The cubic root of 10203424 is about 216.8945526033.

Adding to 10203424 its reverse (42430201), we get a palindrome (52633625).

It can be divided in two parts, 1020 and 3424, that added together give a palindrome (4444).

The spelling of 10203424 in words is "ten million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 101 112 154 164 176 202 224 287 308 328 352 404 451 574 616 656 707 808 902 1111 1148 1232 1312 1414 1616 1804 2222 2296 2464 2828 3157 3232 3608 4141 4444 4592 5656 6314 7216 7777 8282 8888 9184 11312 12628 14432 15554 16564 17776 22624 25256 28987 31108 33128 35552 45551 50512 57974 62216 66256 91102 101024 115948 124432 132512 182204 231896 248864 318857 364408 463792 637714 728816 927584 1275428 1457632 2550856 5101712 10203424