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88000080 = 2435731069
BaseRepresentation
bin1010011111011…
…00011001010000
320010120212102020
411033230121100
5140012000310
612422051440
72115663000
oct517543120
9203525366
1088000080
1145745843
1225579b80
131530186c
14b98a000
157ad4170
hex53ec650

88000080 has 160 divisors (see below), whose sum is σ = 318432000. Its totient is φ = 20095488.

The previous prime is 88000069. The next prime is 88000091. The reversal of 88000080 is 8000088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88000069) and next prime (88000091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88000080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81786 + ... + 82854.

It is an arithmetic number, because the mean of its divisors is an integer number (1990200).

Almost surely, 288000080 is an apocalyptic number.

88000080 is a gapful number since it is divisible by the number (80) 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 88000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159216000).

88000080 is an abundant number, since it is smaller than the sum of its proper divisors (230431920).

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

88000080 is a wasteful number, since it uses less digits than its factorization.

88000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 88000080 is about 9380.8357836602. The cubic root of 88000080 is about 444.7961529005.

The spelling of 88000080 in words is "eighty-eight million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1069 1176 1372 1470 1680 1715 1960 2058 2138 2352 2744 2940 3207 3430 3920 4116 4276 5145 5345 5488 5880 6414 6860 7483 8232 8552 10290 10690 11760 12828 13720 14966 16035 16464 17104 20580 21380 22449 25656 27440 29932 32070 37415 41160 42760 44898 51312 52381 59864 64140 74830 82320 85520 89796 104762 112245 119728 128280 149660 157143 179592 209524 224490 256560 261905 299320 314286 359184 366667 419048 448980 523810 598640 628572 733334 785715 838096 897960 1047620 1100001 1257144 1466668 1571430 1795920 1833335 2095240 2200002 2514288 2933336 3142860 3666670 4190480 4400004 5500005 5866672 6285720 7333340 8800008 11000010 12571440 14666680 17600016 22000020 29333360 44000040 88000080