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68903100 = 223252710937
BaseRepresentation
bin1000001101101…
…10000010111100
311210122122021200
410012312002330
5120114344400
610500455500
71464444450
oct406660274
9153578250
1068903100
1135991a12
121b0aa590
1311376486
149218660
1560b0b00
hex41b60bc

68903100 has 108 divisors (see below), whose sum is σ = 246848784. Its totient is φ = 15747840.

The previous prime is 68903069. The next prime is 68903137. The reversal of 68903100 is 130986.

It is a super-2 number, since 2×689031002 = 9495274379220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832 + ... + 11768.

Almost surely, 268903100 is an apocalyptic number.

68903100 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 68903100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123424392).

68903100 is an abundant number, since it is smaller than the sum of its proper divisors (177945684).

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

68903100 is a wasteful number, since it uses less digits than its factorization.

68903100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 68903100 is about 8300.7891191139. The cubic root of 68903100 is about 409.9645021815.

The spelling of 68903100 in words is "sixty-eight million, nine hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 10937 21874 32811 43748 54685 65622 76559 98433 109370 131244 153118 164055 196866 218740 229677 273425 306236 328110 382795 393732 459354 492165 546850 656220 689031 765590 820275 918708 984330 1093700 1148385 1378062 1531180 1640550 1913975 1968660 2296770 2460825 2756124 3281100 3445155 3827950 4593540 4921650 5741925 6890310 7655900 9843300 11483850 13780620 17225775 22967700 34451550 68903100