Search a number
BaseRepresentation
bin1010011111011…
…11100010110100
320010121112010000
411033233202310
5140012403410
612422231300
72116045416
oct517574264
9203545100
1088012980
1145754500
1225585530
13153076b3
14b9909b6
hex53ef8b4

88012980 has 180 divisors, whose sum is σ = 304157700. Its totient is φ = 21288960.

The previous prime is 88012963. The next prime is 88012987. The reversal of 88012980 is 8921088.

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 45319824 = 6534^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88012987) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195796 + ... + 196244.

It is an arithmetic number, because the mean of its divisors is an integer number (1689765).

Almost surely, 288012980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88012980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152078850).

88012980 is an abundant number, since it is smaller than the sum of its proper divisors (216144720).

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

88012980 is a wasteful number, since it uses less digits than its factorization.

88012980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 88012980 is about 9381.5233304618. The cubic root of 88012980 is about 444.8178861763.

It can be divided in two parts, 8801 and 2980, that added together give a triangular number (11781 = T153).

The spelling of 88012980 in words is "eighty-eight million, twelve thousand, nine hundred eighty".