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10150272 = 27341189
BaseRepresentation
bin100110101110…
…000110000000
3201002200120000
4212232012000
510044302042
61001320000
7152163426
oct46560600
921080500
1010150272
115803060
123496000
1321450a2
1414c3116
15d5774c
hex9ae180

10150272 has 160 divisors (see below), whose sum is σ = 33323400. Its totient is φ = 3041280.

The previous prime is 10150271. The next prime is 10150297. The reversal of 10150272 is 27205101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10150271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114004 + ... + 114092.

Almost surely, 210150272 is an apocalyptic number.

10150272 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 10150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16661700).

10150272 is an abundant number, since it is smaller than the sum of its proper divisors (23173128).

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

10150272 is an equidigital number, since it uses as much as digits as its factorization.

10150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10150272 is about 3185.9491521366. The cubic root of 10150272 is about 216.5172787458.

Adding to 10150272 its reverse (27205101), we get a palindrome (37355373).

The spelling of 10150272 in words is "ten million, one hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 89 96 99 108 128 132 144 162 176 178 192 198 216 264 267 288 297 324 352 356 384 396 432 528 534 576 594 648 704 712 792 801 864 891 979 1056 1068 1152 1188 1296 1408 1424 1584 1602 1728 1782 1958 2112 2136 2376 2403 2592 2848 2937 3168 3204 3456 3564 3916 4224 4272 4752 4806 5184 5696 5874 6336 6408 7128 7209 7832 8544 8811 9504 9612 10368 11392 11748 12672 12816 14256 14418 15664 17088 17622 19008 19224 23496 25632 26433 28512 28836 31328 34176 35244 38016 38448 46992 51264 52866 57024 57672 62656 70488 76896 79299 93984 102528 105732 114048 115344 125312 140976 153792 158598 187968 211464 230688 281952 307584 317196 375936 422928 461376 563904 634392 845856 922752 1127808 1268784 1691712 2537568 3383424 5075136 10150272