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68680404 = 2232131011453
BaseRepresentation
bin1000001011111…
…11101011010100
311210020022210200
410011333223110
5120040233104
610452020500
71462526262
oct405775324
9153208720
1068680404
113584a671
121b001730
13112c8cc0
14919b432
156069b39
hex417fad4

68680404 has 72 divisors (see below), whose sum is σ = 188944392. Its totient is φ = 20908800.

The previous prime is 68680397. The next prime is 68680433. The reversal of 68680404 is 40408686.

It can be written as a sum of positive squares in 4 ways, for example, as 35640900 + 33039504 = 5970^2 + 5748^2 .

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, 46542 + ... + 47994.

Almost surely, 268680404 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 68680404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94472196).

68680404 is an abundant number, since it is smaller than the sum of its proper divisors (120263988).

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

68680404 is a wasteful number, since it uses less digits than its factorization.

68680404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68680404 is about 8287.3641165331. The cubic root of 68680404 is about 409.5223547306.

The spelling of 68680404 in words is "sixty-eight million, six hundred eighty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1453 1818 2626 2906 3636 3939 4359 5252 5812 7878 8718 11817 13077 15756 17436 18889 23634 26154 37778 47268 52308 56667 75556 113334 146753 170001 226668 293506 340002 440259 587012 680004 880518 1320777 1761036 1907789 2641554 3815578 5283108 5723367 7631156 11446734 17170101 22893468 34340202 68680404