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68774112 = 253211171277
BaseRepresentation
bin1000001100101…
…10100011100000
311210102002100100
410012112203200
5120101232422
610454022400
71463366421
oct406264340
9153362310
1068774112
1135904010
121b047a00
131132c854
1491c3648
1560877ac
hex41968e0

68774112 has 144 divisors (see below), whose sum is σ = 226083312. Its totient is φ = 19599360.

The previous prime is 68774099. The next prime is 68774131. The reversal of 68774112 is 21147786.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53218 + ... + 54494.

It is an arithmetic number, because the mean of its divisors is an integer number (1570023).

Almost surely, 268774112 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 68774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113041656).

68774112 is an abundant number, since it is smaller than the sum of its proper divisors (157309200).

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

68774112 is a wasteful number, since it uses less digits than its factorization.

68774112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 68774112 is about 8293.0158567315. The cubic root of 68774112 is about 409.7085217619.

It can be divided in two parts, 68774 and 112, that added together give a palindrome (68886).

The spelling of 68774112 in words is "sixty-eight million, seven hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1277 1496 1584 1632 1683 2244 2448 2554 2992 3168 3366 3831 4488 4896 5108 5984 6732 7662 8976 10216 11493 13464 14047 15324 17952 20432 21709 22986 26928 28094 30648 40864 42141 43418 45972 53856 56188 61296 65127 84282 86836 91944 112376 122592 126423 130254 168564 173672 183888 195381 224752 238799 252846 260508 337128 347344 367776 390762 449504 477598 505692 521016 674256 694688 716397 781524 955196 1011384 1042032 1348512 1432794 1563048 1910392 2022768 2084064 2149191 2865588 3126096 3820784 4045536 4298382 5731176 6252192 7641568 8596764 11462352 17193528 22924704 34387056 68774112