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68183136 = 25327311091
BaseRepresentation
bin1000001000001…
…10010001100000
311202022001200100
410010012101200
5114423330021
610433222400
71455355440
oct404062140
9152261610
1068183136
113553aaaa
121aa01a00
1311183868
1490ac120
155ebc626
hex4106460

68183136 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 18835200.

The previous prime is 68183131. The next prime is 68183179. The reversal of 68183136 is 63138186.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68183136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68183131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61951 + ... + 63041.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 268183136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68183136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

68183136 is an abundant number, since it is smaller than the sum of its proper divisors (160769952).

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

68183136 is a wasteful number, since it uses less digits than its factorization.

68183136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 68183136 is about 8257.3080359158. The cubic root of 68183136 is about 408.5316023206.

The spelling of 68183136 in words is "sixty-eight million, one hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1091 1116 1302 1488 1736 1953 2016 2182 2232 2604 2976 3273 3472 3906 4364 4464 5208 6546 6944 7637 7812 8728 8928 9819 10416 13092 15274 15624 17456 19638 20832 22911 26184 30548 31248 33821 34912 39276 45822 52368 61096 62496 67642 68733 78552 91644 101463 104736 122192 135284 137466 157104 183288 202926 236747 244384 270568 274932 304389 314208 366576 405852 473494 541136 549864 608778 710241 733152 811704 946988 1082272 1099728 1217556 1420482 1623408 1893976 2130723 2199456 2435112 2840964 3246816 3787952 4261446 4870224 5681928 7575904 8522892 9740448 11363856 17045784 22727712 34091568 68183136