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68801360 = 2457091213
BaseRepresentation
bin1000001100111…
…01001101010000
311210110110201112
410012131031100
5120103120420
610454352452
71463542025
oct406351520
9153413645
1068801360
1135922531
121b05b728
131133c084
1491cd54c
1560908c5
hex419d350

68801360 has 40 divisors (see below), whose sum is σ = 160320840. Its totient is φ = 27459072.

The previous prime is 68801353. The next prime is 68801371. The reversal of 68801360 is 6310886.

It can be written as a sum of positive squares in 4 ways, for example, as 2085136 + 66716224 = 1444^2 + 8168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56114 + ... + 57326.

It is an arithmetic number, because the mean of its divisors is an integer number (4008021).

Almost surely, 268801360 is an apocalyptic number.

It is an amenable number.

68801360 is an abundant number, since it is smaller than the sum of its proper divisors (91519480).

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

68801360 is a wasteful number, since it uses less digits than its factorization.

68801360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 68801360 is about 8294.6585222057. The cubic root of 68801360 is about 409.7626228543.

The spelling of 68801360 in words is "sixty-eight million, eight hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1213 1418 2426 2836 3545 4852 5672 6065 7090 9704 11344 12130 14180 19408 24260 28360 48520 56720 97040 860017 1720034 3440068 4300085 6880136 8600170 13760272 17200340 34400680 68801360