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88030080 = 27325172931
BaseRepresentation
bin1010011111100…
…11101110000000
320010122101120100
411033303232000
5140013430310
612422442400
72116146315
oct517635600
9203571510
1088030080
1145766336
1225593400
1315312408
14b996d0c
157adcec0
hex53f3b80

88030080 has 384 divisors, whose sum is σ = 343699200. Its totient is φ = 20643840.

The previous prime is 88030079. The next prime is 88030099. The reversal of 88030080 is 8003088.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2839665 + ... + 2839695.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 288030080 is an apocalyptic number.

88030080 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 88030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

88030080 is an abundant number, since it is smaller than the sum of its proper divisors (255669120).

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

88030080 is a wasteful number, since it uses less digits than its factorization.

88030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88030080 is about 9382.4346520506. The cubic root of 88030080 is about 444.8466921293.

The spelling of 88030080 in words is "eighty-eight million, thirty thousand, eighty".