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68321400 = 23352716267
BaseRepresentation
bin1000001001010…
…00000001111000
311202120002100020
410010220001320
5114442241100
610440210440
71456502520
oct404500170
9152502306
1068321400
1135624974
121aa69a20
1311201784
149106680
155ee85a0
hex4128078

68321400 has 96 divisors (see below), whose sum is σ = 242067840. Its totient is φ = 15615360.

The previous prime is 68321389. The next prime is 68321401. The reversal of 68321400 is 412386.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68321401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934 + ... + 12333.

It is an arithmetic number, because the mean of its divisors is an integer number (2521540).

Almost surely, 268321400 is an apocalyptic number.

68321400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68321400 is an abundant number, since it is smaller than the sum of its proper divisors (173746440).

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

68321400 is a wasteful number, since it uses less digits than its factorization.

68321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16293 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68321400 is about 8265.6760159106. The cubic root of 68321400 is about 408.8075604675.

Adding to 68321400 its reverse (412386), we get a palindrome (68733786).

The spelling of 68321400 in words is "sixty-eight million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 16267 32534 48801 65068 81335 97602 113869 130136 162670 195204 227738 244005 325340 341607 390408 406675 455476 488010 569345 650680 683214 813350 910952 976020 1138690 1220025 1366428 1626700 1708035 1952040 2277380 2440050 2732856 2846725 3253400 3416070 4554760 4880100 5693450 6832140 8540175 9760200 11386900 13664280 17080350 22773800 34160700 68321400