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68658310 = 257337541
BaseRepresentation
bin1000001011110…
…10010010000110
311210012012111101
410011322102012
5120034031220
610451330314
71462405000
oct405722206
9153165441
1068658310
1135835006
121abb099a
13112bbc26
149193370
15606330a
hex417a486

68658310 has 64 divisors (see below), whose sum is σ = 148291200. Its totient is φ = 22861440.

The previous prime is 68658307. The next prime is 68658311. The reversal of 68658310 is 1385686.

It is a super-2 number, since 2×686583102 = 9427927064112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 68658310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68658311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 126640 + ... + 127180.

It is an arithmetic number, because the mean of its divisors is an integer number (2317050).

Almost surely, 268658310 is an apocalyptic number.

68658310 is an abundant number, since it is smaller than the sum of its proper divisors (79632890).

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

68658310 is a wasteful number, since it uses less digits than its factorization.

68658310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 68658310 is about 8286.0310161138. The cubic root of 68658310 is about 409.4784365395.

It can be divided in two parts, 686 and 58310, that added together give a triangular number (58996 = T343).

The spelling of 68658310 in words is "sixty-eight million, six hundred fifty-eight thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 37 49 70 74 98 185 245 259 343 370 490 518 541 686 1082 1295 1715 1813 2590 2705 3430 3626 3787 5410 7574 9065 12691 18130 18935 20017 25382 26509 37870 40034 53018 63455 100085 126910 132545 140119 185563 200170 265090 280238 371126 700595 927815 980833 1401190 1855630 1961666 4904165 6865831 9808330 13731662 34329155 68658310