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68252700 = 223523141179
BaseRepresentation
bin1000001000101…
…11010000011100
311202102121002210
410010113100130
5114433041300
610434520420
71456065315
oct404272034
9152377083
1068252700
113558829a
121aa36110
13111a9419
1490c960c
155ed3050
hex411741c

68252700 has 144 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 17088000.

The previous prime is 68252687. The next prime is 68252719. The reversal of 68252700 is 725286.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 381211 + ... + 381389.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 268252700 is an apocalyptic number.

68252700 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 68252700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

68252700 is an abundant number, since it is smaller than the sum of its proper divisors (141733860).

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

68252700 is a wasteful number, since it uses less digits than its factorization.

68252700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 68252700 is about 8261.5192307468. The cubic root of 68252700 is about 408.6704901974.

Adding to 68252700 its reverse (725286), we get a palindrome (68977986).

The spelling of 68252700 in words is "sixty-eight million, two hundred fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 123 124 150 155 164 179 186 205 246 300 310 358 372 410 465 492 537 615 620 716 775 820 895 930 1025 1074 1230 1271 1550 1790 1860 2050 2148 2325 2460 2542 2685 3075 3100 3580 3813 4100 4475 4650 5084 5370 5549 6150 6355 7339 7626 8950 9300 10740 11098 12300 12710 13425 14678 15252 16647 17900 19065 22017 22196 25420 26850 27745 29356 31775 33294 36695 38130 44034 53700 55490 63550 66588 73390 76260 83235 88068 95325 110085 110980 127100 138725 146780 166470 183475 190650 220170 227509 277450 332940 366950 381300 416175 440340 455018 550425 554900 682527 733900 832350 910036 1100850 1137545 1365054 1664700 2201700 2275090 2730108 3412635 4550180 5687725 6825270 11375450 13650540 17063175 22750900 34126350 68252700