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68945184 = 25327113109
BaseRepresentation
bin1000001110000…
…00010100100000
311210201210000100
410013000110200
5120122221214
610501422400
71465011240
oct407002440
9153653010
1068945184
1135a105a0
121b10aa00
131138c689
149229b20
1560bd309
hex41c0520

68945184 has 144 divisors (see below), whose sum is σ = 244520640. Its totient is φ = 17902080.

The previous prime is 68945159. The next prime is 68945203. The reversal of 68945184 is 48154986.

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

It is a congruent number.

It is an unprimeable number.

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, 20622 + ... + 23730.

It is an arithmetic number, because the mean of its divisors is an integer number (1698060).

Almost surely, 268945184 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 68945184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122260320).

68945184 is an abundant number, since it is smaller than the sum of its proper divisors (175575456).

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

68945184 is a wasteful number, since it uses less digits than its factorization.

68945184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3132 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 68945184 is about 8303.3236718798. The cubic root of 68945184 is about 410.0479499740.

The spelling of 68945184 in words is "sixty-eight million, nine hundred forty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3109 3168 3696 5544 6218 7392 9327 11088 12436 18654 21763 22176 24872 27981 34199 37308 43526 49744 55962 65289 68398 74616 87052 99488 102597 111924 130578 136796 149232 174104 195867 205194 223848 239393 261156 273592 298464 307791 348208 391734 410388 447696 478786 522312 547184 615582 696416 718179 783468 820776 895392 957572 1044624 1094368 1231164 1436358 1566936 1641552 1915144 2089248 2154537 2462328 2872716 3133872 3283104 3830288 4309074 4924656 5745432 6267744 7660576 8618148 9849312 11490864 17236296 22981728 34472592 68945184