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88139760 = 24351812029
BaseRepresentation
bin1010100000011…
…10011111110000
320010211222000120
411100032133300
5140030433020
612425050240
72120114142
oct520163760
9203758016
1088139760
1145830785
1225626980
1315350307
14b9c4c92
157b10740
hex540e7f0

88139760 has 80 divisors (see below), whose sum is σ = 274878240. Its totient is φ = 23362560.

The previous prime is 88139759. The next prime is 88139767. The reversal of 88139760 is 6793188.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88139767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42426 + ... + 44454.

It is an arithmetic number, because the mean of its divisors is an integer number (3435978).

Almost surely, 288139760 is an apocalyptic number.

88139760 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 88139760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137439120).

88139760 is an abundant number, since it is smaller than the sum of its proper divisors (186738480).

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

88139760 is a wasteful number, since it uses less digits than its factorization.

88139760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 88139760 is about 9388.2777973386. The cubic root of 88139760 is about 445.0313658824.

The spelling of 88139760 in words is "eighty-eight million, one hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2029 2172 2715 2896 3620 4058 4344 5430 6087 7240 8116 8688 10145 10860 12174 14480 16232 20290 21720 24348 30435 32464 40580 43440 48696 60870 81160 97392 121740 162320 243480 367249 486960 734498 1101747 1468996 1836245 2203494 2937992 3672490 4406988 5508735 5875984 7344980 8813976 11017470 14689960 17627952 22034940 29379920 44069880 88139760