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68396880 = 2435521547
BaseRepresentation
bin1000001001110…
…10011101010000
311202200220212210
410010322131100
5120002200010
610441552120
71460235546
oct404723520
9152626783
1068396880
1135676652
121aaa5640
1311229c36
149125d96
156010b20
hex413a750

68396880 has 80 divisors (see below), whose sum is σ = 212825664. Its totient is φ = 18170880.

The previous prime is 68396879. The next prime is 68396929. The reversal of 68396880 is 8869386.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 124767 + ... + 125313.

Almost surely, 268396880 is an apocalyptic number.

68396880 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 68396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106412832).

68396880 is an abundant number, since it is smaller than the sum of its proper divisors (144428784).

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

68396880 is a wasteful number, since it uses less digits than its factorization.

68396880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 68396880 is about 8270.2406252781. The cubic root of 68396880 is about 408.9580523013.

The spelling of 68396880 in words is "sixty-eight million, three hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 521 547 1042 1094 1563 1641 2084 2188 2605 2735 3126 3282 4168 4376 5210 5470 6252 6564 7815 8205 8336 8752 10420 10940 12504 13128 15630 16410 20840 21880 25008 26256 31260 32820 41680 43760 62520 65640 125040 131280 284987 569974 854961 1139948 1424935 1709922 2279896 2849870 3419844 4274805 4559792 5699740 6839688 8549610 11399480 13679376 17099220 22798960 34198440 68396880