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68279400 = 23325275419
BaseRepresentation
bin1000001000111…
…01110001101000
311202110221201200
410010131301220
5114434420100
610435244200
71456236210
oct404356150
9152427650
1068279400
11355a6362
121aa49660
13111b8617
1490d5240
155edae00
hex411dc68

68279400 has 144 divisors (see below), whose sum is σ = 262111200. Its totient is φ = 15603840.

The previous prime is 68279383. The next prime is 68279401. The reversal of 68279400 is 497286.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68279401) 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 35 ways as a sum of consecutive naturals, for example, 9891 + ... + 15309.

Almost surely, 268279400 is an apocalyptic number.

68279400 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 68279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131055600).

68279400 is an abundant number, since it is smaller than the sum of its proper divisors (193831800).

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

68279400 is a wasteful number, since it uses less digits than its factorization.

68279400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68279400 is about 8263.1349982921. The cubic root of 68279400 is about 408.7237729714.

The spelling of 68279400 in words is "sixty-eight million, two hundred seventy-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 5419 6300 10838 12600 16257 21676 27095 32514 37933 43352 48771 54190 65028 75866 81285 97542 108380 113799 130056 135475 151732 162570 189665 195084 216760 227598 243855 270950 303464 325140 341397 379330 390168 406425 455196 487710 541900 568995 650280 682794 758660 812850 910392 948325 975420 1083800 1137990 1219275 1365588 1517320 1625700 1706985 1896650 1950840 2275980 2438550 2731176 2844975 3251400 3413970 3793300 4551960 4877100 5689950 6827940 7586600 8534925 9754200 11379900 13655880 17069850 22759800 34139700 68279400