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68658420 = 2235712227
BaseRepresentation
bin1000001011110…
…10010011110100
311210012012122110
410011322103310
5120034032140
610451331020
71462405215
oct405722364
9153165573
1068658420
11358350a6
121abb0a70
13112bbcac
14919340c
156063380
hex417a4f4

68658420 has 72 divisors (see below), whose sum is σ = 195848352. Its totient is φ = 17971520.

The previous prime is 68658409. The next prime is 68658431. The reversal of 68658420 is 2485686.

It is an interprime number because it is at equal distance from previous prime (68658409) and next prime (68658431).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302347 + ... + 302573.

It is an arithmetic number, because the mean of its divisors is an integer number (2720116).

Almost surely, 268658420 is an apocalyptic number.

68658420 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 68658420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97924176).

68658420 is an abundant number, since it is smaller than the sum of its proper divisors (127189932).

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

68658420 is a wasteful number, since it uses less digits than its factorization.

68658420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 68658420 is about 8286.0376537884. The cubic root of 68658420 is about 409.4786552196.

The spelling of 68658420 in words is "sixty-eight million, six hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 227 284 355 426 454 681 710 852 908 1065 1135 1362 1420 2130 2270 2724 3405 4260 4540 5041 6810 10082 13620 15123 16117 20164 25205 30246 32234 48351 50410 60492 64468 75615 80585 96702 100820 151230 161170 193404 241755 302460 322340 483510 967020 1144307 2288614 3432921 4577228 5721535 6865842 11443070 13731684 17164605 22886140 34329210 68658420