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10244430 = 23257223101
BaseRepresentation
bin100111000101…
…000101001110
3201021110201100
4213011011032
510110310210
61003323530
7153035100
oct47050516
921243640
1010244430
115867879
1235205a6
132178bc1
141509570
15d755c0
hex9c514e

10244430 has 144 divisors (see below), whose sum is σ = 32651424. Its totient is φ = 2217600.

The previous prime is 10244393. The next prime is 10244447. The reversal of 10244430 is 3444201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101380 + ... + 101480.

It is an arithmetic number, because the mean of its divisors is an integer number (226746).

Almost surely, 210244430 is an apocalyptic number.

10244430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325712).

10244430 is an abundant number, since it is smaller than the sum of its proper divisors (22406994).

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

10244430 is a wasteful number, since it uses less digits than its factorization.

10244430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10244430 is about 3200.6921126531. The cubic root of 10244430 is about 217.1847195786.

Adding to 10244430 its reverse (3444201), we get a palindrome (13688631).

The spelling of 10244430 in words is "ten million, two hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 101 105 115 126 138 147 161 202 207 210 230 245 294 303 315 322 345 414 441 483 490 505 606 630 690 707 735 805 882 909 966 1010 1035 1127 1414 1449 1470 1515 1610 1818 2070 2121 2205 2254 2323 2415 2898 3030 3381 3535 4242 4410 4545 4646 4830 4949 5635 6363 6762 6969 7070 7245 9090 9898 10143 10605 11270 11615 12726 13938 14490 14847 16261 16905 20286 20907 21210 23230 24745 29694 31815 32522 33810 34845 41814 44541 48783 49490 50715 63630 69690 74235 81305 89082 97566 101430 104535 113827 146349 148470 162610 209070 222705 227654 243915 292698 341481 445410 487830 569135 682962 731745 1024443 1138270 1463490 1707405 2048886 3414810 5122215 10244430