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68990040 = 23325723911
BaseRepresentation
bin1000001110010…
…11010001011000
311210211001112200
410013023101120
5120130140130
610502410200
71465256100
oct407132130
9153731480
1068990040
1135a41269
121b130960
13113a6c12
14923c200
1560cb760
hex41cb458

68990040 has 144 divisors (see below), whose sum is σ = 260891280. Its totient is φ = 15765120.

The previous prime is 68990027. The next prime is 68990059. The reversal of 68990040 is 4009986.

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

It is a junction number, because it is equal to n+sod(n) for n = 68989977 and 68990004.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15685 + ... + 19595.

It is an arithmetic number, because the mean of its divisors is an integer number (1811745).

Almost surely, 268990040 is an apocalyptic number.

68990040 is a gapful number since it is divisible by the number (60) 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 68990040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130445640).

68990040 is an abundant number, since it is smaller than the sum of its proper divisors (191901240).

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

68990040 is a wasteful number, since it uses less digits than its factorization.

68990040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68990040 is about 8306.0243197332. The cubic root of 68990040 is about 410.1368569497.

The spelling of 68990040 in words is "sixty-eight million, nine hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 3911 4410 5880 7822 8820 11733 15644 17640 19555 23466 27377 31288 35199 39110 46932 54754 58665 70398 78220 82131 93864 109508 117330 136885 140796 156440 164262 175995 191639 219016 234660 246393 273770 281592 328524 351990 383278 410655 469320 492786 547540 574917 657048 703980 766556 821310 958195 985572 1095080 1149834 1231965 1407960 1533112 1642620 1724751 1916390 1971144 2299668 2463930 2874585 3285240 3449502 3832780 4599336 4927860 5749170 6899004 7665560 8623755 9855720 11498340 13798008 17247510 22996680 34495020 68990040