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68378700 = 223521389197
BaseRepresentation
bin1000001001101…
…10000001001100
311202122222221110
410010312001030
5120001104300
610441332020
71460131545
oct404660114
9152588843
1068378700
1135663a25
121aa97010
1311221890
14911d4cc
15600a550
hex413604c

68378700 has 144 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 16558080.

The previous prime is 68378683. The next prime is 68378753. The reversal of 68378700 is 787386.

It is a super-2 number, since 2×683787002 = 9351293227380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347002 + ... + 347198.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 268378700 is an apocalyptic number.

68378700 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 68378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

68378700 is an abundant number, since it is smaller than the sum of its proper divisors (148169940).

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

68378700 is a wasteful number, since it uses less digits than its factorization.

68378700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 68378700 is about 8269.1414306444. The cubic root of 68378700 is about 408.9218151892.

The spelling of 68378700 in words is "sixty-eight million, three hundred seventy-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 89 100 130 150 156 178 195 197 260 267 300 325 356 390 394 445 534 591 650 780 788 890 975 985 1068 1157 1182 1300 1335 1780 1950 1970 2225 2314 2364 2561 2670 2955 3471 3900 3940 4450 4628 4925 5122 5340 5785 5910 6675 6942 7683 8900 9850 10244 11570 11820 12805 13350 13884 14775 15366 17355 17533 19700 23140 25610 26700 28925 29550 30732 34710 35066 38415 51220 52599 57850 59100 64025 69420 70132 76830 86775 87665 105198 115700 128050 153660 173550 175330 192075 210396 227929 256100 262995 347100 350660 384150 438325 455858 525990 683787 768300 876650 911716 1051980 1139645 1314975 1367574 1753300 2279290 2629950 2735148 3418935 4558580 5259900 5698225 6837870 11396450 13675740 17094675 22792900 34189350 68378700