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10104732 = 223211171979
BaseRepresentation
bin100110100010…
…111110011100
3201000101002100
4212202332130
510041322412
61000325100
7151613601
oct46427634
921011070
1010104732
115781920
123473790
13212a441
1414b06a8
15d48edc
hex9a2f9c

10104732 has 144 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2695680.

The previous prime is 10104719. The next prime is 10104761. The reversal of 10104732 is 23740101.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127869 + ... + 127947.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 210104732 is an apocalyptic number.

10104732 is a gapful number since it is divisible by the number (12) 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 10104732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10104732 is an abundant number, since it is smaller than the sum of its proper divisors (21344868).

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

10104732 is a wasteful number, since it uses less digits than its factorization.

10104732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10104732 is about 3178.7941109798. The cubic root of 10104732 is about 216.1929859609.

Adding to 10104732 its reverse (23740101), we get a palindrome (33844833).

The spelling of 10104732 in words is "ten million, one hundred four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 79 99 102 114 132 153 158 171 187 198 204 209 228 237 306 316 323 342 374 396 418 474 561 612 627 646 684 711 748 836 869 948 969 1122 1254 1292 1343 1422 1501 1683 1738 1881 1938 2244 2508 2607 2686 2844 2907 3002 3366 3476 3553 3762 3876 4029 4503 5214 5372 5814 6004 6732 7106 7524 7821 8058 9006 10428 10659 11628 12087 13509 14212 14773 15642 16116 16511 18012 21318 24174 25517 27018 29546 31284 31977 33022 42636 44319 48348 49533 51034 54036 59092 63954 66044 76551 88638 99066 102068 127908 132957 148599 153102 177276 198132 229653 265914 280687 297198 306204 459306 531828 561374 594396 842061 918612 1122748 1684122 2526183 3368244 5052366 10104732