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88323120 = 24325612011
BaseRepresentation
bin1010100001110…
…11010000110000
320011012021112200
411100323100300
5140102314440
612433023200
72121506544
oct520732060
9204167480
1088323120
1145946516
12256b4b00
13153b5902
14ba31a24
157b49c30
hex543b430

88323120 has 120 divisors (see below), whose sum is σ = 301630992. Its totient is φ = 23155200.

The previous prime is 88323101. The next prime is 88323133. The reversal of 88323120 is 2132388.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 42915 + ... + 44925.

Almost surely, 288323120 is an apocalyptic number.

88323120 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 88323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150815496).

88323120 is an abundant number, since it is smaller than the sum of its proper divisors (213307872).

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

88323120 is a wasteful number, since it uses less digits than its factorization.

88323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 88323120 is about 9398.0380931341. The cubic root of 88323120 is about 445.3397565219.

The spelling of 88323120 in words is "eighty-eight million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2011 2196 2440 2745 2928 3660 4022 4392 4880 5490 6033 7320 8044 8784 10055 10980 12066 14640 16088 18099 20110 21960 24132 30165 32176 36198 40220 43920 48264 60330 72396 80440 90495 96528 120660 122671 144792 160880 180990 241320 245342 289584 361980 368013 482640 490684 613355 723960 736026 981368 1104039 1226710 1447920 1472052 1840065 1962736 2208078 2453420 2944104 3680130 4416156 4906840 5520195 5888208 7360260 8832312 9813680 11040390 14720520 17664624 22080780 29441040 44161560 88323120