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10136016 = 24361179
BaseRepresentation
bin100110101010…
…100111010000
3201001222000000
4212222213100
510043323031
61001130000
7152104032
oct46524720
921058000
1010136016
1157a3380
123489900
13213b757
1414bbc52
15d533e6
hex9aa9d0

10136016 has 140 divisors (see below), whose sum is σ = 32527680. Its totient is φ = 3032640.

The previous prime is 10136011. The next prime is 10136017. The reversal of 10136016 is 61063101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10136016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10136011) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 128265 + ... + 128343.

Almost surely, 210136016 is an apocalyptic number.

10136016 is a gapful number since it is divisible by the number (16) 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 10136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263840).

10136016 is an abundant number, since it is smaller than the sum of its proper divisors (22391664).

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

10136016 is an equidigital number, since it uses as much as digits as its factorization.

10136016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10136016 is about 3183.7110421645. The cubic root of 10136016 is about 216.4158654857.

Adding to 10136016 its reverse (61063101), we get a palindrome (71199117).

The spelling of 10136016 in words is "ten million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 79 81 88 99 108 132 144 158 162 176 198 216 237 243 264 297 316 324 396 432 474 486 528 594 632 648 711 729 792 869 891 948 972 1188 1264 1296 1422 1458 1584 1738 1782 1896 1944 2133 2376 2607 2673 2844 2916 3476 3564 3792 3888 4266 4752 5214 5346 5688 5832 6399 6952 7128 7821 8019 8532 10428 10692 11376 11664 12798 13904 14256 15642 16038 17064 19197 20856 21384 23463 25596 31284 32076 34128 38394 41712 42768 46926 51192 57591 62568 64152 70389 76788 93852 102384 115182 125136 128304 140778 153576 187704 211167 230364 281556 307152 375408 422334 460728 563112 633501 844668 921456 1126224 1267002 1689336 2534004 3378672 5068008 10136016